Log in

Relevant bibliographies by topics / Lie groups / Dissertations / Theses

To see the other types of publications on this topic, follow the link: Lie groups.

Dissertations / Theses on the topic 'Lie groups'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 dissertations / theses for your research on the topic 'Lie groups.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse dissertations / theses on a wide variety of disciplines and organise your bibliography correctly.

1

Eddy, Scott M. "Lie Groups and Lie Algebras." Youngstown State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1320152161.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Ahluwalia, Kanwardeep Singh. "Lie bialgebras and Poisson lie groups." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.388758.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

pl, tomasz@uci agh edu. "A Lie Group Structure on Strict Groups." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1076.ps.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Harkins, Andrew. "Combining lattices of soluble lie groups." Thesis, University of Newcastle Upon Tyne, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.341777.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Öhrnell, Carl. "Lie Groups and PDE." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-420706.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Burroughs, Nigel John. "The quantisation of Lie groups and Lie algebras." Thesis, University of Cambridge, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358486.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Krook, Jonathan. "Overview of Lie Groups and Their Lie Algebras." Thesis, KTH, Skolan för teknikvetenskap (SCI), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-275722.

Full text

Abstract:

Intuitively, Lie groups are groups that are also smooth. The aim of this thesis is to describe how Lie groups are defined as smooth manifolds, and to look into their properties. To each Lie group there exists an associated vector space, which is called the Lie algebra of the Lie group. We will investigate what properties of a Lie group can be derived from its Lie algebra. As an application, we will characterise all unitary irreducible finite dimensional representations of the Lie group SO(3).<br>Liegrupper kan ses som grupper som även är glatta. Målet med den här rapporten är att definiera Lie

APA, Harvard, Vancouver, ISO, and other styles

8

Ray, Jishnu. "Iwasawa algebras for p-adic Lie groups and Galois groups." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLS189/document.

Full text

Abstract:

Un outil clé dans la théorie des représentations p-adiques est l'algèbre d'Iwasawa, construit par Iwasawa pour étudier les nombres de classes d'une tour de corps de nombres. Pour un nombre premier p, l'algèbre d'Iwasawa d'un groupe de Lie p-adique G, est l'algèbre de groupe G complétée non-commutative. C'est aussi l'algèbre des mesures p-adiques sur G. Les objets provenant de groupes semi-simples, simplement connectés ont des présentations explicites comme la présentation par Serre des algèbres semi-simples et la présentation de groupe de Chevalley par Steinberg. Dans la partie I, nous donnons

APA, Harvard, Vancouver, ISO, and other styles

9

Jimenez, William. "Riemannian submersions and Lie groups." College Park, Md. : University of Maryland, 2005. http://hdl.handle.net/1903/2648.

Full text

Abstract:

Thesis (Ph. D.) -- University of Maryland, College Park, 2005.<br>Thesis research directed by: Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

APA, Harvard, Vancouver, ISO, and other styles

10

Hindeleh, Firas Y. "Tangent and Cotangent Bundles, Automorphism Groups and Representations of Lie Groups." University of Toledo / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1153933389.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Snopçe, Ilir. "Lie methods in pro-p groups." Diss., Online access via UMI:, 2009.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

12

Groves, Daniel. "Problems in Lie rings and groups." Thesis, University of Oxford, 2000. http://ora.ox.ac.uk/objects/uuid:4b5479ad-30ac-4ad6-98a3-51484095868b.

Full text

Abstract:

We construct a Lie relator which is not an identical Lie relator. This is the first known example of a non-identical Lie relator. Next we consider the existence of torsion in outer commutator groups. Let L be a free Lie ring. Suppose that 1 < i ≤ j ≤ 2i and i ≤ k ≤ i + j + 1. We prove that L/[L<sup>j</sup>, L<sup>i</sup>, L<sup>k</sup><./em>] is torsion free. Also, we prove that if 1 < i ≤ j ≤ 2i and j ≤ k ≤ l ≤ i + j then L/[L<sup>j</sup>, L<sup>i</sup>, L<sup>k</sup>, L<sup>l</sup>] is torsion free. We then prove that the analogous groups, namely F/[γ<sub>j</sub>(F),γ<sub>i</sub>(F),γ<sub>k<

APA, Harvard, Vancouver, ISO, and other styles

13

Reynolds, Matthew. "Signalizers in groups of Lie type." Thesis, University of Warwick, 2013. http://wrap.warwick.ac.uk/57753/.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Elkasapy, Abdelrhman. "Word Maps on Compact Lie Groups." Doctoral thesis, Universitätsbibliothek Leipzig, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-184066.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Chern, Shikai. "Dirac Induction for Unimodular Lie Groups /." The Ohio State University, 1996. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487933648648503.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Bou-Rabee, Nawaf Marsden Jerrold E. Marsden Jerrold E. "Hamilton-Pontryagin integrators on Lie groups /." Diss., Pasadena, Calif. : California Institute of Technology, 2007. http://resolver.caltech.edu/CaltechETD:etd-06052007-153115.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

Santacruz, Camilo Andres Angulo. "A cohomology theory for Lie 2-algebras and Lie 2-groups." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-15022019-084657/.

Full text

Abstract:

In this thesis, we introduce a new cohomology theory associated to a Lie 2-algebras and a new cohomology theory associated to a Lie 2-group. These cohomology theories are shown to extend the classical cohomology theories of Lie algebras and Lie groups in that their second groups classify extensions. We use this fact together with an adapted van Est map to prove the integrability of Lie 2-algebras anew.<br>Nesta tese, nós introduzimos uma nova teoria de cohomologia associada às 2-álgebras de Lie e uma nova teoria de cohomologia associada aos 2-grupos de Lie. Prova-se que estas teorias de cohomo

APA, Harvard, Vancouver, ISO, and other styles

18

Sale, Andrew W. "The length of conjugators in solvable groups and lattices of semisimple Lie groups." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:ea21dab2-2da1-406a-bd4f-5457ab02a011.

Full text

Abstract:

The conjugacy length function of a group Γ determines, for a given a pair of conjugate elements u,v ∈ Γ, an upper bound for the shortest γ in Γ such that uγ = γv, relative to the lengths of u and v. This thesis focuses on estimating the conjugacy length function in certain finitely generated groups. We first look at a collection of solvable groups. We see how the lamplighter groups have a linear conjugacy length function; we find a cubic upper bound for free solvable groups; for solvable Baumslag--Solitar groups it is linear, while for a larger family of abelian-by-cyclic groups we get either

APA, Harvard, Vancouver, ISO, and other styles

19

Hindeleh, Firas. "Tangent and cotangent bundles automorphism groups and representations of Lie groups /." See Full Text at OhioLINK ETD Center (Requires Adobe Acrobat Reader for viewing), 2006. http://www.ohiolink.edu/etd/view.cgi?acc_num=toledo1153933389.

Full text

Abstract:

Thesis (Ph.D.)--University of Toledo, 2006.<br>Typescript. "A dissertation [submitted] as partial fulfillment of the requirements of the Doctor of Philosophy degree in Mathematics." Bibliography: leaves 79-82.

APA, Harvard, Vancouver, ISO, and other styles

20

Wickramasekara, Sujeewa, and sujeewa@physics utexas edu. "On the Representations of Lie Groups and Lie Algebras in Rigged Hilbert." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi994.ps.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Ammar, Gregory, Christian Mehl, and Volker Mehrmann. "Schur-Like Forms for Matrix Lie Groups, Lie Algebras and Jordan Algebras." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501032.

Full text

Abstract:

We describe canonical forms for elements of a classical Lie group of matrices under similarity transformations in the group. Matrices in the associated Lie algebra and Jordan algebra of matrices inherit related forms under these similarity transformations. In general, one cannot achieve diagonal or Schur form, but the form that can be achieved displays the eigenvalues of the matrix. We also discuss matrices in intersections of these classes and their Schur-like forms. Such multistructered matrices arise in applications from quantum physics and quantum chemistry.

APA, Harvard, Vancouver, ISO, and other styles

22

Lupi, Giulia. "Kernel approximations in Lie groups and application to group-invariant CNN." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2021. http://amslaurea.unibo.it/23905/.

Full text

Abstract:

In questa tesi viene studiata un'equazione di convezione-diffusione-erosione introdotta in problemi di image processing. In particolare, si cercano approssimazioni dei nuclei per l'equazione di diffusione e per l'equazione di erosione. Per fare tali approssimazioni si é utilizzato il metodo della parametrice per l'equazione di diffusione, mentre il nucleo dell'equazione di erosione viene trovato a partire dal nucleo dell'equazione di diffusione attraverso la trasformata di Cramér-Fuorier.

APA, Harvard, Vancouver, ISO, and other styles

23

Ebert, Svend. "Wavelets on Lie groups and homogeneous spaces." Doctoral thesis, Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola", 2011. http://nbn-resolving.de/urn:nbn:de:bsz:105-qucosa-78988.

Full text

Abstract:

Within the past decades, wavelets and associated wavelet transforms have been intensively investigated in both applied and pure mathematics. They and the related multi-scale analysis provide essential tools to describe, analyse and modify signals, images or, in rather abstract concepts, functions, function spaces and associated operators. We introduce the concept of diffusive wavelets where the dilation operator is provided by an evolution like process that comes from an approximate identity. The translation operator is naturally defined by a regular representation of the Lie group where we wa

APA, Harvard, Vancouver, ISO, and other styles

24

Reyes, Carrion Ramon. "Some special geometries defined by Lie groups." Thesis, University of Oxford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.357592.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Zerbes, Sarah. "Selmer groups over p-adic Lie extensions." Thesis, University of Cambridge, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.613792.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Maclean, Craig David. "Analytical motion planning on 3D-Lie groups." Thesis, University of Strathclyde, 2014. http://oleg.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=24388.

Full text

Abstract:

In this thesis optimal analytical controls derived using the framework of geometric control theory are used to plan motions for real engineering systems, and their performance assessed. Beginning with the nonholonomic wheeled robot on the 3-D Special Euclidean group, the co-ordinate free Maximum Principle of optimal control is used to create a kinematic motion planner via parametric optimisation. The reachable sets of the planner are investigated, and an obstacle avoidance framework is created and demonstrated. The practical applicability of this motion planner is assessed in both the unit spe

APA, Harvard, Vancouver, ISO, and other styles

27

Melcher, Tai Alexis. "Hypoelliptic heat kernel inequalities on lie groups /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2004. http://wwwlib.umi.com/cr/ucsd/fullcit?p3129940.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Günther, Janne-Kathrin. "The C*-algebras of certain Lie groups." Thesis, Université de Lorraine, 2016. http://www.theses.fr/2016LORR0118/document.

Full text

Abstract:

Dans la présente thèse de doctorat, les C*-algèbres des groupes de Lie connexes réels nilpotents de pas deux et du groupe de Lie SL(2,R) sont caractérisées. En outre, comme préparation à une analyse de sa C*-algèbre, la topologie du spectre du produit semi-direct U(n) x H_n est décrite, où H_n dénote le groupe de Lie de Heisenberg et U(n) le groupe unitaire qui agit sur H_n par automorphismes. Pour la détermination des C*-algèbres de groupes, la transformation de Fourier à valeurs opérationnelles est utilisée pour appliquer chaque C*-algèbre dans l'algèbre de tous les champs d'opérateurs borné

APA, Harvard, Vancouver, ISO, and other styles

29

Günther, Janne-Kathrin. "The C*-algebras of certain Lie groups." Electronic Thesis or Diss., Université de Lorraine, 2016. http://www.theses.fr/2016LORR0118.

Full text

Abstract:

Dans la présente thèse de doctorat, les C*-algèbres des groupes de Lie connexes réels nilpotents de pas deux et du groupe de Lie SL(2,R) sont caractérisées. En outre, comme préparation à une analyse de sa C*-algèbre, la topologie du spectre du produit semi-direct U(n) x H_n est décrite, où H_n dénote le groupe de Lie de Heisenberg et U(n) le groupe unitaire qui agit sur H_n par automorphismes. Pour la détermination des C*-algèbres de groupes, la transformation de Fourier à valeurs opérationnelles est utilisée pour appliquer chaque C*-algèbre dans l'algèbre de tous les champs d'opérateurs borné

APA, Harvard, Vancouver, ISO, and other styles

30

Chahbazian, Clément. "Particle Filtering on Lie Groups : Application to Navigation." Electronic Thesis or Diss., université Paris-Saclay, 2023. http://www.theses.fr/2023UPAST069.

Full text

Abstract:

L'estimation Bayésienne est une discipline importante dans un grand nombre de domaines scientifiques et techniques. Elle se base sur le théorème de Bayes qui permet d'associer une observation avec une connaissance a priori sur un évènement ou un paramètre. Cependant, ce théorème ne peut pas être résolu analytiquement en présence de fortes non-linéarités et de nombreuses méthodes ont été développées pour le traiter numériquement. Parmi elles, les filtres particulaires représentent les densités de probabilités avec un nuage de particules. Cette approche permet de traiter des problèmes fortement

APA, Harvard, Vancouver, ISO, and other styles

31

Stefanicki, Tomasz. "On subalgebras of free Lie algebras and on the Lie algebra associated to the lower central series of a group." Thesis, McGill University, 1987. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=63885.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Giroux, Yves. "Degenerate enveloping algebras of low-rank groups." Thesis, McGill University, 1986. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=74026.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Semple, James Fraser. "Completion of restricted Lie algebras and collapsing groups." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.316874.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Baarnhielm, Jonas Henrik Ambjorn. "Algorithmic problems in twisted groups of lie type." Thesis, Queen Mary, University of London, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.498313.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Biggs, James D. "Integrable Hamiltonian systems on six dimensional Lie groups." Thesis, University of Reading, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.443934.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Ayala, V., and Hacibekiroglu A. Kara. "Examples of linear control systems on Lie groups." Pontificia Universidad Católica del Perú, 2013. http://repositorio.pucp.edu.pe/index/handle/123456789/95402.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Sanders, Paul Jonathon. "Prime-power Lie algebras and finite p-groups." Thesis, University of Warwick, 1994. http://wrap.warwick.ac.uk/107557/.

Full text

Abstract:

In this thesis we use the Lie ring functors of Magnus and Lazard to investigate finite p-groups which possess either a cyclic subgroup of small index, or whose derived subgroup has exponent dividing p. The class of groups we consider is sufficiently large to include completely 11 of the 15 families of groups of order p7 (p > 7), partitioned by Hall’s type invariants. Some information on the other 4 families is also derived. Motivated by the work of Burnside [3] and Miller [21] concerning the stable behaviour of groups of order pn and exponent pn-2 for p and n sufficiently large, we investigate

APA, Harvard, Vancouver, ISO, and other styles

38

Wahlström, Josefin. "An Introduction to Kleinian Geometry via Lie Groups." Thesis, Uppsala universitet, Algebra och geometri, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-422749.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Damers, Julien. "Lie groups applied to localisation of mobile robots." Electronic Thesis or Diss., Brest, École nationale supérieure de techniques avancées Bretagne, 2022. http://www.theses.fr/2022ENTA0007.

Full text

Abstract:

Dans le cadre du développement des énergies renouvelables, les activités offshores liées aux parcs éoliens ont grandement augmenté en nombre. Ainsi les coûts de maintenance et de surveillance de telles structures aussi bien en hommes qu'en moyens se sont accrus et cette tendance s'amplifiera sûrement au cours des prochaines années. Ceci a encouragé le développement des véhicules sous-marins autonomes (AUV). Ceux-ci sont encore très coûteux du fait des capteurs onéreux qu'ils embarquent. Ils sont donc encore rares, ce qui ne suffit pas à combler les actuels besoins. Ainsi le développement d'AUV

APA, Harvard, Vancouver, ISO, and other styles

40

Caprace, Pierre-Emmanuel. ""Abstract" homomorphisms of split Kac-Moody groups." Doctoral thesis, Universite Libre de Bruxelles, 2005. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210962.

Full text

Abstract:

Cette thèse est consacrée à une classe de groupes, appelés groupes de Kac-Moody, qui généralise de façon naturelle les groupes de Lie semi-simples, ou plus précisément, les groupes algébriques réductifs, dans un contexte infini-dimensionnel. On s'intéresse plus particulièrement au problème d'isomorphismes pour ces groupes, en vue d'obtenir un analogue infini-dimensionnel de la célèbre théorie des homomorphismes 'abstraits' de groupes algébriques simples, due à Armand Borel et Jacques Tits.<p><p>Le problème d'isomorphismes qu'on étudie s'avère être un cas particulier d'un problème plus général,

APA, Harvard, Vancouver, ISO, and other styles

41

Assmann, Björn. "Applications of Lie methods to computations with polycyclic groups." Thesis, St Andrews, 2007. http://hdl.handle.net/10023/435.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Jakovljevic, Cvjetan, and University of Lethbridge Faculty of Arts and Science. "Conformal field theory and lie algebras." Thesis, Lethbridge, Alta. : University of Lethbridge, Faculty of Arts and Science, 1996, 1996. http://hdl.handle.net/10133/37.

Full text

Abstract:

Conformal field theories (CFTs) are intimately connected with Lie groups and their Lie algebras. Conformal symmetry is infinite-dimensional and therefore an infinite-dimensional algebra is required to describe it. This is the Virasoro algebra, which must be realized in any CFT. However, there are CFTs whose symmetries are even larger then Virasoro symmentry. We are particularly interested in a class of CFTs called Wess-Zumino-Witten (WZW) models. They have affine Lie algebras as their symmentry algebras. Each WZW model is based on a simple Lie group, whose simple Lie algebra is a subalgebra of

APA, Harvard, Vancouver, ISO, and other styles

43

Yu, Jun. "Symmetric subgroups of automorphism groups of compact simple Lie algebras /." View abstract or full-text, 2009. http://library.ust.hk/cgi/db/thesis.pl?MATH%202009%20YU.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Ando, Hiroshi. "Polish Groups of Finite Type and Their Lie Algebras." 京都大学 (Kyoto University), 2012. http://hdl.handle.net/2433/157737.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Azam, Saeid. "Extended affine Lie algebras and extended affine Weyl groups." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp02/NQ27440.pdf.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

King, Jeremy David. "Finite presentability of Lie algebras and pro-p groups." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.364385.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Welsh, Trevor Alan. "Young tableaux and modules of groups of Lie algebras." Thesis, University of Southampton, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.332783.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Bien, Frédéric Vincent. "Spherical D̳-modules and representations of reductive lie groups." Thesis, Massachusetts Institute of Technology, 1986. http://hdl.handle.net/1721.1/101303.

Full text

Abstract:

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1986.<br>MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE.<br>The underscored character in the title transcriptions is a script D on the title page.<br>Bibliography: leaves 89-91.<br>by Frédéric Vincent Bien.<br>Ph.D.

APA, Harvard, Vancouver, ISO, and other styles

49

O'Dea, Fergus Rae. "Harmonic maps into Lie groups, integrable systems and supersymmetry /." Full text (PDF) from UMI/Dissertation Abstracts International, 2000. http://wwwlib.umi.com/cr/utexas/fullcit?p3004350.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Garcia-Naranjo, Luis Constantino. "Almost Poisson Brackets for Nonholonomic Systems on Lie Groups." Diss., The University of Arizona, 2007. http://hdl.handle.net/10150/195845.

Full text

Abstract:

We present a geometric construction of almost Poisson brackets for nonholonomic mechanical systems whose configuration space is a Lie group G. We study the so-called LL and LR systems where the kinetic energy defines a left invariant metric on G and the constraints are invariant with respect to left (respectively right) translation on G.For LL systems, the equations on the momentum phase space, T*G, can be left translated onto g*, the dual space of the Lie algebra g. We show that the reduced equations on g* can be cast in Poisson form with respect to an almost Poisson bracket that is obtained

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!