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Dissertations / Theses on the topic 'Clifford algebras'

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Published: 4 June 2021

Last updated: 25 July 2025

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1

Han, Gang. "Clifford algebras associated with symmetric pairs /." View abstract or full-text, 2004. http://library.ust.hk/cgi/db/thesis.pl?MATH%202004%20HAN.

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2

Araujo, Martinho da Costa. "Construção de algebras reais de Clifford." reponame:Repositório Institucional da UFSC, 1988. http://repositorio.ufsc.br/xmlui/handle/123456789/75476.

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Dissertação (mestrado) - Universidade Federal de Santa Catarina. Centro de Ciencias Fisicas e Matematicas<br>Made available in DSpace on 2012-10-16T01:41:13Z (GMT). No. of bitstreams: 0Bitstream added on 2016-01-08T16:06:12Z : No. of bitstreams: 1 81779.pdf: 1134439 bytes, checksum: 3a7d46a6cf731cb8b57c4b1815f21112 (MD5)<br>O objetivo anunciado no título desta tese é realizado do seguinte modo: No capítulo I selecionamos definições de estruturas algébricas e de álgebra linear que usaremos nos capítulos posteriores. No capítulo II introduzimos a noção de álgebra de clifford. Estabelecemos a sua

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3

Wilmot, Gregory Paul. "The structure of Clifford algebra." Title page, contents and abstract only, 1988. http://web4.library.adelaide.edu.au/theses/09SM/09smw738.pdf.

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4

Hoefel, Eduardo Outeiral Correa. "Teorias de Gauge e algebras de Clifford." [s.n.], 2002. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307234.

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Orientador: Jayme Vaz Jr<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-02T06:58:26Z (GMT). No. of bitstreams: 1 Hoefel_EduardoOuteiralCorrea_M.pdf: 3091537 bytes, checksum: f00ee4b0eba7ea00e03a3ba084791085 (MD5) Previous issue date: 2002<br>Resumo: Nesta dissertação apresentamos uma descrição do formalismo matemático das teorias de gauge introduzindo os conceitos de grupos e álgebras de Lie, fibrados principais, conexões e curvatura. Em seguida introduzimos as álgebras de Clif

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5

Severi, Claudio. "Clifford algebras and spin groups, with physical applications." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18387/.

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In questo lavoro viene esposta la teoria delle algebre di Clifford e dei gruppi di Spin, con attenzione alle applicazioni fisiche, in particolare l'equazione di Dirac per particelle quantistiche con spin 1/2. I primi due capitoli sono dedicati ad una descrizione generale delle algebre di Clifford reali e complesse, che vengono costruite e classificate. Il terzo capitolo è dedicato ai gruppi di Spin ed alle loro algebre di Lie. Gli ultimi due capitoli illustrano un'applicazione fisica: viene esposta la teoria quantistica dello spin e del momento angolare, e si deriva l'equazione di Dirac con un

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6

Wylie, Dave. "Factoring Blades and Versors in Euclidean Clifford Algebras." Thesis, Southern Illinois University at Edwardsville, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=1564083.

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<p> This thesis examines different methods of factoring elements of Clifford Algebras, specifically, <i>C</i>&ell;<sub>n,0</sub>. Blades are factored using Fontijne's algorithm and other techniques. Versors are factored using Perwass's algorithm. Writing an element as a sum of blades, which are then factored, can make it more efficient to store or transmit that element. To evaluate the usefulness of expressing a given element of <i>C</i>&ell;<sub> n,0</sub> this way, the number of scalars required to express that element is compared between factored and expanded forms.</p>

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7

Buchholz, Sven [Verfasser]. "A Theory of Neural Computation with Clifford Algebras / Sven Buchholz." Kiel : Universitätsbibliothek Kiel, 2005. http://d-nb.info/1080317147/34.

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8

Doran, Christopher John Leslie. "Geometric algebra and its application to mathematical physics." Thesis, University of Cambridge, 1994. https://www.repository.cam.ac.uk/handle/1810/251691.

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Clifford algebras have been studied for many years and their algebraic properties are well known. In particular, all Clifford algebras have been classified as matrix algebras over one of the three division algebras. But Clifford Algebras are far more interesting than this classification suggests; they provide the algebraic basis for a unified language for physics and mathematics which offers many advantages over current techniques. This language is called geometric algebra - the name originally chosen by Clifford for his algebra - and this thesis is an investigation into the properties and app

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9

Resende, Adriana Souza. "Introdução elementar às álgebras Clifford 'CL IND.2' 'CL IND. 3'." [s.n.], 2010. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306698.

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Orientador: Waldyr Alves Rodrigues Junior<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-15T23:09:32Z (GMT). No. of bitstreams: 1 Resende_AdrianaSouza_M.pdf: 17553204 bytes, checksum: a66cefe30e9957cc4351e03d3aec35b2 (MD5) Previous issue date: 2010<br>Resumo: O presente trabalho tem a intenção de apresentar por intermédio de uma linguagem unificada alguns conceitos de cálculo vetorial, álgebra linear (matrizes e transformações lineares) e também algumas idéias elem

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10

Rocha, Junior Roldão da. "Spinors e twistors no modelo paravetorial : uma formulação via algebras de Clifford." [s.n.], 2001. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307233.

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Orientador: Jayme Vaz Junior<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-09-24T19:00:48Z (GMT). No. of bitstreams: 1 RochaJunior_Roldaoda_M.pdf: 4478856 bytes, checksum: 633cef106ddf91dc74b9d11ae74d1372 (MD5) Previous issue date: 2001<br>Resumo: Nesta dissertação o formalismo dos spinors e twistors de Penrose são formulados em termos das álgebras de Clifi'ord. Para tal utilizamos o modelo paravetorial do espaço-tempo, onde um vetor do espaço-tempo é escrito em termos da soma de

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11

Farias, José Ginaldo de Sousa. "Álgebra de Clifford: classificações e representações." Universidade Federal da Paraíba, 2013. http://tede.biblioteca.ufpb.br:8080/handle/tede/8039.

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Submitted by Maike Costa (maiksebas@gmail.com) on 2016-03-28T10:50:36Z No. of bitstreams: 1 arquivototal.pdf: 800250 bytes, checksum: 42e76ab05ea580b4fd24a3312b9b4212 (MD5)<br>Made available in DSpace on 2016-03-28T10:50:36Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 800250 bytes, checksum: 42e76ab05ea580b4fd24a3312b9b4212 (MD5) Previous issue date: 2013-08-30<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>In this paper, we study Clifford algebras so universal and constructive as quantization of exterior algebra, we classify all Clifford algebras associated

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12

Dolan, Peter. "A Z2-graded generalization of Kostant's version of the Bott-Borel-Weil theorem /." view abstract or download file of text, 2007. http://proquest.umi.com/pqdweb?did=1400959341&sid=2&Fmt=2&clientId=11238&RQT=309&VName=PQD.

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Thesis (Ph. D.)--University of Oregon, 2007.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 130-131). Also available for download via the World Wide Web; free to University of Oregon users.

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13

Satchell, Marcel John Francis. "Geometric algebra & the quantum theory of fields." Thesis, University of Cambridge, 2014. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.708105.

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14

Mendes, Douglas 1985. "Álgebras de Clifford e a fibração de Hopf." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306400.

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Orientador: Rafael de Freitas Leão<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-20T03:14:46Z (GMT). No. of bitstreams: 1 Mendes_Douglas_M.pdf: 1234399 bytes, checksum: 9934061cdc7cbbc1da3d2586302aac2e (MD5) Previous issue date: 2012<br>Resumo: Os grupos Spin aparecem de várias formas em Matemática e em Física-Matemática, tendo grande importância na teoria de brados e de operadores diferenciais sobre os mesmos. O conceito de estrutura spin é deles derivado, sendo ele a base de

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15

Biswas, Debapriya. "Geometry of elliptic, parabolic and hyperbolic homogeneous spaces using Clifford algebras and group representations." Thesis, University of Leeds, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.432297.

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16

Traesel, Marcio Andre. "Estruturas não-associativas generalizadas em S7 e Álgebras de Clifford." reponame:Repositório Institucional da UFABC, 2009.

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17

Mattos, Eduardo Souza. "Sobre álgebras de Clifford, geometria projetiva e visão computacional." [s.n.], 2010. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307238.

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Orientador: Jayme Vaz Junior<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-16T08:39:55Z (GMT). No. of bitstreams: 1 Mattos_EduardoSouza_M.pdf: 1032396 bytes, checksum: fd915adc5546adcea3d86c90b4fda15b (MD5) Previous issue date: 2010<br>Resumo: Atualmente, o estudo das Álgebras de Clifford é utilizado em inúmeras áreas de pesquisa. Uma delas é na área de Visão Computacional. O objetivo central dessa dissertação consiste em exibir noções sobre Álgebras de Clifford e sua utilizaç

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18

Alves, Rafael Santos de Oliveira 1982. "Álgebra de Clifford aplicada ao cálculo de estruturas moleculares." [s.n.], 2013. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306802.

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Orientador: Carlile Campos Lavor<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-09-24T19:32:19Z (GMT). No. of bitstreams: 1 Alves_RafaelSantosdeOliveira_D.pdf: 2213205 bytes, checksum: 67a1681eb02b103974e57e3047edc755 (MD5) Previous issue date: 2013<br>Resumo: O Problema de Geometria de Distâncias Moleculares (PGDM) consiste em encontrar uma imersão tridimensional de um grafo simples, não orientado, de forma que o peso nas arestas corresponda às distâncias inter-atômicas de uma molécula

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19

Souza, Jose Vicente Cipriano de 1964. "Uma aplicação da algebra geometrica a mecanica classica = a transformação de Kustaanheimo-Stiefel." [s.n.], 2010. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307232.

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Orientador: Jayme Vaz Jr.<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-15T04:12:56Z (GMT). No. of bitstreams: 1 Souza_JoseVicenteCiprianode_M.pdf: 1091003 bytes, checksum: 9c23a3d5fde13a39b607a4ada7ade738 (MD5) Previous issue date: 2010<br>Resumo: Nessa dissertação apresentamos a Álgebra Geométrica do Espaço Euclidiano e estudamos algumas de suas propriedades. Para exemplificar suas aplicações, estudamos a Transformação Kustaanheimo-Stiefel em termos de Álgebra G

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20

Sousa, Mônica Paula de. "Álgebras de Clifford: uma introdução à Geometria Spin." Universidade Federal da Paraíba, 2013. http://tede.biblioteca.ufpb.br:8080/handle/tede/7393.

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Made available in DSpace on 2015-05-15T11:46:09Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1473576 bytes, checksum: 7ed82fab94ed8434b60fff26580cd11e (MD5) Previous issue date: 2013-08-23<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>In this work we discuss the concepts and definitions that construct Clifford algebras focusing on a introduction the theory Spin Geometry. That s because the connection this two subject, enabling such algebras know the measure that helps to understand the definition of spin manifold, concept introductory the this special topic

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Alves, Rafael Santos de Oliveira 1982. "Algebra geometrica e o algoritmo de Grover." [s.n.], 2008. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306805.

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Orientador: Carlile Campos Lavor<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-11T07:27:34Z (GMT). No. of bitstreams: 1 Alves_RafaelSantosdeOliveira_M.pdf: 2108746 bytes, checksum: 26f9217f1127ef34f9a7ae1692c995b8 (MD5) Previous issue date: 2008<br>Resumo: O Algoritmo de Grover é um algoritmo quântico de busca em um conjunto desordenado. Com o uso de propriedades da mecânica quântica, ele apresenta um ganho quadrático em relação a um algoritmo clássico. Neste trabalho, apresen

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22

Kou, Kit Ian. "Paley-Wiener theorem and Shannon sampling with the Clifford analysis setting." Thesis, University of Macau, 2005. http://umaclib3.umac.mo/record=b2492153.

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23

Rocha, Junior Roldão da. "Álgebras de Clifford, generalizações e aplicações à física-matemática." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/277990.

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Orientador: Jayme Vaz Jr<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Fisica Gleb Wataglin<br>Made available in DSpace on 2018-08-05T13:26:17Z (GMT). No. of bitstreams: 1 RochaJunior_Roldaoda_D.pdf: 1670364 bytes, checksum: 3d62c507080592c925245e4858fab674 (MD5) Previous issue date: 2005<br>Resumo: Investigamos generalizações das álgebras de Clifford (ACs) e suas vastas aplicações na Física. Classificamos o mais novo candidato à descrição da matéria escura como um campo espinorial bandeira, que pertence à classe 5 proposta por Lounesto, de acordo com os valores assu

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Brito, Kelvyn Paterson Sousa de. "Espinores sobre o bulk e em dimensões compactificadas." reponame:Repositório Institucional da UFABC, 2017.

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25

Wainer, Samuel Augusto 1989. "Geometria riemanniana e semi-riemanniana no fibrado de Clifford e aplicações." [s.n.], 2013. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305959.

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Orientador: Márcio Antônio de Faria Rosa<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-23T21:14:43Z (GMT). No. of bitstreams: 1 Wainer_SamuelAugusto_M.pdf: 5577672 bytes, checksum: a3aefda361194ee05c87bea837ce9ddf (MD5) Previous issue date: 2013<br>Resumo: O resumo poderá ser visualizado no texto completo da tese digital<br>Abstract: The complete abstract is available with the full electronic document .<br>Mestrado<br>Matematica<br>Mestre em Matemática

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Lima, Rian Lopes de. "Grupos clássicos e álgebras de Clifford C* em espaços de Hilbert." reponame:Repositório Institucional da UFABC, 2014.

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Orientador: Prof. Dr. Roldão da Rocha jr.<br>Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Matemática , 2014.<br>Clifford algebras in Hilbert spaces are studied, along with the possible defnitions of spinors when the classical Clifford algebra is equipped with an additional structure of algebra C. The groups associated with the Clifford algebras, such as the Clifford-Lipschtz groups, Pin and Spin groups, are introduced together with unitary structures and trace operators in Clifford algebras in Hilbert spaces as well. Von-Neumann algebras are studied and th

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Melo, Nolmar. "Uma álgebra de Clifford de assinatura (n,3n) e os operadores densidade da teoria da informação quântica." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306804.

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Orientador: Carlile Campos Lavor<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-17T14:47:27Z (GMT). No. of bitstreams: 1 Melo_Nolmar_D.pdf: 2834013 bytes, checksum: 5639deabb953aa019e4e1c9c905e856d (MD5) Previous issue date: 2011<br>Resumo: Este trabalho apresenta uma linguagem algébrica para dois elementos básicos da teoria da informação quântica (os bits quânticos e os operadores densidade), baseada nas propriedades de uma álgebra de Clifford de assinatura (n,3n). Demonstramos que

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28

Russell, Neil Eric. "Aspects of the symplectic and metric geometry of classical and quantum physics." Thesis, Rhodes University, 1993. http://hdl.handle.net/10962/d1005237.

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I investigate some algebras and calculi naturally associated with the symplectic and metric Clifford algebras. In particular, I reformulate the well known Lepage decomposition for the symplectic exterior algebra in geometrical form and present some new results relating to the simple subspaces of the decomposition. I then present an analogous decomposition for the symmetric exterior algebra with a metric. Finally, I extend this symmetric exterior algebra into a new calculus for the symmetric differential forms on a pseudo-Riemannian manifold. The importance of this calculus lies in its potentia

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Romero, Ruiz Ivan. "Tensor de impedancias magnetotelúrico en álgebras de Clifford: signatura rerum del tensor de impedancias magnetotelúrico." Doctoral thesis, Universitat de Barcelona, 2015. http://hdl.handle.net/10803/396604.

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El tensor de impedancias es el elemento matemático que condensa los datos en Magnetotelúrica. No obstante solemos verlo representado en forma matricial, representación que no ofrece toda la información que se puede recabar del mismo. Las álgebras de Clifford son un grupo asociativo que establece un sistema algebraico donde el tensor queda mejor caracterizado, dotándolo de significado geométrico. En este contexto, considerar el propio tensor y sus trasformaciones como elementos del álgebra, además de reproducir de manera compacta y sencilla las relaciones habituales, abre la posibilidad de dilu

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El, Mir Ghina. "Algèbres de Clifford conformes et orbites de points de vue d'images." Thesis, La Rochelle, 2014. http://www.theses.fr/2014LAROS013/document.

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L'objectif de ce travail est de décrire des modélisations des points de vue et des changements de points de vue d'images d'un objet planaire dans les algèbres de Clifford conformes. Nous généralisons le modèle conforme de l'espace euclidien à travers une famille à deux paramètres d'horosphère, chacune d'entre elles étant plongée dans un espace vectoriel réel de dimension 4 muni d'une métrique équivalente à la métrique de Minkowski. Nous décrivons par la suite deux approches pour mettre en œuvre ces modèles conformes généralisés pour les représentations d'images. L'idée de base est d'encoder le

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Covolo, Tiffany. "(Z2)n-Superalgebra and (Z2)n-Supergeometry." Thesis, Lyon 1, 2014. http://www.theses.fr/2014LYO10203.

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La présente thèse porte sur le développement d'une théorie d'algèbre linéaire, de géométrie et d'analyse basée sur les algèbres (Z2)n-commutatives, c'est-à-dire des algèbres (Z2)n-graduées associatives unitaires satisfaisant ab = (-1)ba, pour tout couple d'éléments homogènes a, b de degrés deg(a), deg(b) où <.,.> est le produit scalaire usuel). Cette généralisation de la supergéométrie a de nombreuses applications : en mathématiques (l'algèbre de Deligne des superformes différentielles, l'algèbre des quaternions et les algèbres de Clifford en sont des exemples) et même en physique (parap

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Kuo, Jung-Miao. "The Clifford algebra of a cubic form." [Bloomington, Ind.] : Indiana University, 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3331257.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2008.<br>Title from PDF t.p. (viewed on Jul 27, 2009). Source: Dissertation Abstracts International, Volume: 69-11, Section: B, page: 6843. Adviser: Darrell Haile.

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FRANCHINI, Silvia Giuseppina. "Graphic Coprocessors with Native Clifford Algebra Support." Doctoral thesis, Università degli Studi di Palermo, 2009. http://hdl.handle.net/10447/178952.

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Silva, Ana Paula da Cunda Corrêa da. "Álgebras de Clifford: uma construção alternativa /." Florianópolis, SC, 1999. http://repositorio.ufsc.br/xmlui/handle/123456789/81355.

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Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas.<br>Made available in DSpace on 2012-10-19T02:17:40Z (GMT). No. of bitstreams: 0Bitstream added on 2016-01-09T03:36:56Z : No. of bitstreams: 1 175354.pdf: 2174314 bytes, checksum: 3d934ab8e79f01772de6e45634702fe3 (MD5)<br>As estruturas de Álgebra Exterior e Álgebra de Clifford se relacionam por isomorfismo de espaço vetorial. Se a forma quadrática é degenerada, a Álgebra de Clifford é a própria Álgebra Exterior para esse espaço. Construção de uma álgebra C/Q, onde Q é a forma quadrática

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Randriamihamison, Louis-Samuel. "Algebres de clifford et paires de hurwitz pseudo-euclidiennes." Toulouse 3, 1988. http://www.theses.fr/1988TOU30123.

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On considere le probleme de hurwitz pseudo-euclidien, tel qu'il a ete formule et etudie recemment par j. Lawrynowicz et j. Rembielinski. Dans le cas euclidien, le probleme avait deja ete resolu par a. Hurwitz en 1923. Dans le cas pseudo-euclidien, on resoud entierement ce probleme en toutes dimensions et signatures quelconques, en delaissant l'approche matricielle employee par lawrynowicz et rembielinski, mais en utilisant le formalisme spinoriel developpe par a. Crumeyrolle. Ce formalisme permet de mettre en evidence les raisons geometriques qui gouvernent les solutions du probleme. Dans la r

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Gresnigt, Niels Gijsbertus. "Relativistic Physics in the Clifford Algebra Cℓ(1, 3)". Thesis, University of Canterbury. Physics and Astronomy, 2009. http://hdl.handle.net/10092/2581.

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There is growing evidence that the Clifford algebra Cℓ(1, 3) is the appropriate mathematical structure to formulate physical theories. The geometries of 3-space and spacetime are naturally reflected in the algebras Cℓ(0, 3) and Cℓ(1, 3) respectively. The choice of metric is important and we give further evidence that only the anti-Euclidean metric allows a proper treatment of rotations. The algebra Cℓ(1, 3) is not a division algebra. The invertibility or non-invertibility of elements in the algebra gives physical insight into the limitations of physical systems and non-invertbility should ther

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Kallfelz, William Michael. "Clifford algebra a case for geometric and ontological unification /." College Park, Md. : University of Maryland, 2008. http://hdl.handle.net/1903/8079.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2008.<br>Thesis research directed by: Dept. of Philosophy. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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Megzari, Saïd. "Idempotents dans les algebres de clifford et fibrations spinorielles amorphes." Toulouse 3, 1986. http://www.theses.fr/1986TOU30146.

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L'objet de ce travail est la definition et l'etude des fibrations spinorielles amorphes sur une variete pseudo-riemannienne; sous fibres en ideaux a gauche minimaux du fibre de clifford, ces fibrations n'ont ete introduites que plus recemment par le professeur a. Crumeyrolle. On donne des conditions necessaires et suffisantes de leur existence qui se traduisent par la possibilite de reduire le groupe orthogonal a un groupe de spinorialite orthogonal. Tenant compte du fait que toute anti-involution gamma peut s'ecrire sous la forme gamma =beta oh ou h est un automorphisme on donne une caracteri

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Stanley, Adrian. "The geometric phase from imaginary time and Clifford algebra space translations." Thesis, University of Kent, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240169.

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Banarer, Vladimir [Verfasser]. "Struktureller Bias in neuronalen Netzen mittels Clifford-Algebren / Vladimir Banarer." Kiel : Universitätsbibliothek Kiel, 2005. http://d-nb.info/1080317066/34.

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Lozano, Julia Carolina Torres. "Clifford and composed foliations." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-18122017-132219/.

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Singular Riemannian foliations in spheres provide local models for an extensive kind of singular Riemannian foliations, whose theory contributes in the understanding of Riemannian manifolds. Hence the importance of studying and classifying them, a research subject that still remains open. In 2014, Marco Radeschi constructed indecomposable singular Riemannian foliations of arbitrary codimension, most of them inhomogeneous, which generalized all known examples of that type so far. The present dissertation is a detailed study of his work, along with observations about the progress made on this dy

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Bujack, Roxana. "Orientation Invariant Pattern Detection in Vector Fields with Clifford Algebra and Moment Invariants." Doctoral thesis, Universitätsbibliothek Leipzig, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-158268.

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The goal of this thesis is the development of a fast and robust algorithm that is able to detect patterns in flow fields independent from their orientation and adequately visualize the results for a human user. This thesis is an interdisciplinary work in the field of vector field visualization and the field of pattern recognition. A vector field can be best imagined as an area or a volume containing a lot of arrows. The direction of the arrow describes the direction of a flow or force at the point where it starts and the length its velocity or strength. This builds a bridge to vector field v

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Bujack, Roxana. "Orientation Invariant Pattern Detection in Vector Fields with Clifford Algebra and Moment Invariants." Master's thesis, Universitätsbibliothek Leipzig, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-191202.

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The goal of this thesis is the development of a fast and robust algorithm that is able to detect patterns in flow fields independent from their orientation and adequately visualize the results for a human user. This thesis is an interdisciplinary work in the field of vector field visualization and the field of pattern recognition. A vector field can be best imagined as an area or a volume containing a lot of arrows. The direction of the arrow describes the direction of a flow or force at the point where it starts and the length its velocity or strength. This builds a bridge to vector field vi

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Bach, Samuel. "Formes quadratiques décalées et déformations." Thesis, Montpellier, 2017. http://www.theses.fr/2017MONTS013/document.

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La L-théorie classique d'un anneau commutatif est construite à partir des formes quadratiques sur cet anneau modulo une relation d'équivalence lagrangienne. Nous construisons la L-théorie dérivée, à partir des formes quadratiques $n$-décalées sur un anneau commutatif dérivé. Nous montrons que les formes $n$-décalées qui admettent un lagrangien possèdent une forme standard. Nous montrons des résultats de chirurgie pour la L-théorie dérivée, qui permettent de réduire une forme quadratique décalée en une forme plus simple équivalente. On compare la L-théorie dérivée avec la L-théorie classique.On

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Sönnerlind, Erik, and Gustav Brage. "Braid group statistics and exchange matrices of non-abelian anyons : with representations in Clifford algebra." Thesis, KTH, Skolan för teknikvetenskap (SCI), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-231567.

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When leaving classical physics and entering the realm of quantum physics, there are many new concepts being introduced. One of the most fundamental ideas in quantum mechanics is that particles no longer have exact known positions, but instead expected values and prob- abilities. This leads to the phenomena of truly identical particles, since they no longer can be distinguished simply by their positions. An important property differentiating different kinds of particles is how a system behaves when two such identical particles are exchanged. Historically, this divided particles into bosons and

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Hadfield, Charles. "Structures de Clifford paires et résonances quantiques." Thesis, Paris Sciences et Lettres (ComUE), 2017. http://www.theses.fr/2017PSLEE010/document.

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Ce manuscrit se compose de deux parties indépendantes. La première partie de cette thèse étudie les structures de Clifford paires. Pour une variété riemannienne munie d’une structure de Clifford paire, nous introduisons l’espace de twisteurs en généralisant la construction d’un tel espace dans le cas d’une variété quaternion-hermitienne. Nous construisons une structure presque-complexe sur l’espace de twisteurs et considérons son intégrabilité lorsque la structure de Clifford est parallèle. Dans certains cas, nous pouvons aussi le fournir d’une métriquekählerienne ou, correspondant à une struc

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Ramponi, Marco. "Clifford index and gonality of curves on special K3 surfaces." Thesis, Poitiers, 2017. http://www.theses.fr/2017POIT2317/document.

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Nous allons étudier les propriétés des courbes algébriques sur des surfaces K3 spéciales, du point de vue de la théorie de Brill-Noether.La démonstration de Lazarsfeld du théorème de Gieseker-Petri a mis en lumière l'importance de la théorie de Brill-Noether des courbes admettant un plongement dans une surface K3. Nous allons donner une démonstration détaillée de ce résultat classique, inspirée par les idées de Pareschi. En suite, nous allons décrire le théorème de Green et Lazarsfeld, fondamental pour tout notre travail, qui établit le comportement de l'indice de Clifford des courbes sur les

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Silva, Humberto José Gama da. "A Álgebra de Clifford: uma aplicação no conceito de força magnética." Universidade Estadual da Paraíba, 2010. http://tede.bc.uepb.edu.br/tede/jspui/handle/tede/1658.

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Made available in DSpace on 2015-09-25T12:18:15Z (GMT). No. of bitstreams: 1 Humberto Jose Gama da Silva_1.pdf: 1171637 bytes, checksum: 8d18e9a9faa7cc4da00a9873103a9498 (MD5) Previous issue date: 2010-12-17<br>The process of teaching learning Physics, in Brazil, has been recognized as deficient in several studies. Particularly, we note that one of the problems has been the mathematical framework regarding the use of physical concepts. This problem seems to generate a conceptual mathematical physical dichotomy which affects the understanding and assimilation of the deep connections betw

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Brito, Kelvyn Páterson Sousa de [UNESP]. "Supersimetria não-anticomutativa." Universidade Estadual Paulista (UNESP), 2013. http://hdl.handle.net/11449/108892.

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Made available in DSpace on 2014-08-27T14:36:44Z (GMT). No. of bitstreams: 0 Previous issue date: 2013-08-23Bitstream added on 2014-08-27T15:57:06Z : No. of bitstreams: 1 000774561.pdf: 509048 bytes, checksum: 311f20166de76fb390b9c2db0bfeb807 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>Em supersimetria padrão, construimos um superespaço com parâmetros 'x POT. 'mu'', 'teta', 'teta BARRA' (anti)comutantes e supercampos que dependem destes, então impomos vínculos e após de?nirmos supercampos quirais e vetorias, que são exemplos interessantes, e en?m construím

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Vaz, Júnior Jayme 1964. "A algebra do espaço-tempo, o spinor de Dirac-Hestenes e a teoria do eletron." [s.n.], 1993. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306702.

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Orientador: Waldyr A. Rodrigues Jr.<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Científica<br>Made available in DSpace on 2018-07-18T17:46:13Z (GMT). No. of bitstreams: 1 VazJunior_Jayme_D.pdf: 3696074 bytes, checksum: 38c75818b237a8ff519bd3727c669660 (MD5) Previous issue date: 1993<br>Resumo: A relação entre a teoria do elétron e o eletromagnetismo é discutida com base no uso da álgebra do espaço-tempo e do spinor de Dirac-Hestenes. Desta relação surge uma equação não-linear como uma alternativa, a princípio mais satisfatória, à

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