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Dissertations / Theses on the topic 'Manifolds (Mathematics) Lie groups'

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Published: 4 June 2021

Last updated: 2 February 2022

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1

Hsia, Kwok-tung, and 夏國棟. "Orbifold euler characteristic of global quotients." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2010. http://hub.hku.hk/bib/B43572054.

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2

Hsia, Kwok-tung. "Orbifold euler characteristic of global quotients." Click to view the E-thesis via HKUTO, 2010. http://sunzi.lib.hku.hk/hkuto/record/B43572054.

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3

Otto, Michael. "Symplectic convexity theorems and applications to the structure theory of semisimple Lie groups." Connect to this title online, 2004. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1084986339.

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Thesis (Ph. D.)--Ohio State University, 2004.<br>Title from first page of PDF file. Document formatted into pages; contains v, 88 p. Includes bibliographical references (p. 87-88). Available online via OhioLINK's ETD Center

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4

Petersen, Willis L. "The Lie Symmetries of a Few Classes of Harmonic Functions." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd837.pdf.

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5

Alzaareer, Hamza Verfasser], Helge [Akademischer Betreuer] [Glöckner, Friedrich [Akademischer Betreuer] Wagemann, and Margit [Akademischer Betreuer] Rösler. "Lie groups of mappings on non-compact spaces and manifolds / Hamza Alzaareer. Betreuer: Helge Glöckner ; Friedrich Wagemann ; Margit Rösler." Paderborn : Universitätsbibliothek, 2013. http://d-nb.info/1036932656/34.

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6

Santos, Ariane Luzia dos. "Controlabilidade de sistemas de controle em grupos de Lie simples e a topologia das variedades flag." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305807.

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Orientador: Luiz Antonio Barrera San Martin<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica.<br>Made available in DSpace on 2018-08-19T06:18:00Z (GMT). No. of bitstreams: 1 Santos_ArianeLuziados_D.pdf: 829222 bytes, checksum: 870721241f42ea4a1c1748427ae28d99 (MD5) Previous issue date: 2011<br>Resumo: Seja S um semigrupo com interior não vazio de um grupo de Lie simples G, conexo, complexo ou real. No caso em que o grupo G é real também considere-o não compacto, com centro finito e cuja álgebra de Lie é uma forma real, norm

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7

Oliveira, Ailton Ribeiro de 1987. "Formalidade geométrica e números de Chern em variedades flag." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306784.

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Orientadores: Caio José Colletti Negreiros, Lino Anderson da Silva Grama<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-27T16:12:58Z (GMT). No. of bitstreams: 1 Oliveira_AiltonRibeirode_D.pdf: 1000877 bytes, checksum: 4f91902c1ef47fbb7b02f75348402924 (MD5) Previous issue date: 2015<br>Resumo: A primeira parte do trabalho é dedicada ao estudo da formalidade geométrica em variedades flag. Uma Estrutura Riemanniana (M,g) é geometricamente formal se g possui a propriedade que todos os pr

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8

Ferraiol, Thiago Fanelli 1984. "Diferenciabilidade dos expoentes de Lyapunov." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305804.

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Orientador: Luiz Antonio Barrera San Martin<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-21T17:52:11Z (GMT). No. of bitstreams: 1 Ferraiol_ThiagoFanelli_D.pdf: 1248936 bytes, checksum: b0a3aefba1736bb7ff7be29e982d7aa0 (MD5) Previous issue date: 2012<br>Resumo: Nesta tese apresentamos resultados que fornecem a regularidade dos expoentes de Lyapunov com uma abordagem via teoria de Lie. A generalização dos expoentes de Lyapunov para fluxos em fibrados flag associados a um fibrado pri

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9

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.

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10

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

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11

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.

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12

Bauer, Tilman 1973. "[rho]-compact groups as framed manifolds." Thesis, Massachusetts Institute of Technology, 2002. http://hdl.handle.net/1721.1/8401.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002.<br>In title on t.p. "[rho]" appears as the lower-case Greek letter.<br>Includes bibliographical references (p. 57-59).<br>We describe a natural way to associate to any [rho]-compact group an element of the [rho]-local stable stems, which, applied to the [rho]-completion of a compact Lie group G, coincides with the element represented by the manifold G with its left-invariant framing. To this end, we construct a d-dimensional sphere SG with a stable G-action for every d-dimensional [rho]-compact group G, which g

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13

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

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14

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

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15

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.

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16

Barucchieri, Bianca. "Affine Hermite-Lorentz manifolds." Thesis, Bordeaux, 2019. http://www.theses.fr/2019BORD0153/document.

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Dans ce travail nous nous intéressons aux groupes cristallographiques, i.e. aux sous-groupes du groupe des transformations affines qui agissent proprement discontinûment et de façon cocompacte sur l’espace affine. Ce sont les groupes fondamentaux des variétés affines compactes et complètes. Nous classifions les groupes cristallographiques dont la partie linéaire préserve une forme hermitienne de signature (n,1). Grunewald et Margulis ont prouvé que ces groupes cristallographiques sont virtuellement résolubles (la conjecture d’Auslander affirme que c’est toujours le cas). Notre classification e

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17

To, Kai-ming Simon, and 杜啟明. "On some aspects of a Poisson structure on a complex semisimple Lie group." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2011. http://hub.hku.hk/bib/B45700333.

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18

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.

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19

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

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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

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20

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.

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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.

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21

Wright, William G. (William Glenn). "An algebraic characterization of stability groups." Thesis, University of North Texas, 1991. https://digital.library.unt.edu/ark:/67531/metadc332465/.

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The goal of this paper is to establish necessary and sufficient conditions for a subgroup of the full homeomorphism group of a manifold to be the stability group of a point in the underlying space. Such subgroups are useful in identifying the underlying space in terms of its homeomorphism group even in cases in which this space is not necessarily a manifold. Thus, stability groups are useful in classifying various spaces.

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22

Balduzzi, David. "Geometric realisation of representations of complex semi-simple Lie groups." Master's thesis, University of Cape Town, 2002. http://hdl.handle.net/11427/4950.

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23

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.

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24

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.

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25

Evens, Samuel R. (Samuel Robert). "Transfer for compact lie groups, induced representations, and braid relations." Thesis, Massachusetts Institute of Technology, 1988. http://hdl.handle.net/1721.1/80453.

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26

Nevins, Monica 1973. "Admissible nilpotent coadjoint orbits of p-adic reductive Lie groups." Thesis, Massachusetts Institute of Technology, 1998. http://hdl.handle.net/1721.1/47467.

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27

Chan, Shing-Wai. "On the chern-connes pairing for pseudomanifolds and lie groups /." The Ohio State University, 1996. http://rave.ohiolink.edu/etdc/view?acc_num=osu148793557377276.

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28

Pavlov, Savva O. "Some examples of liftings for finite groups of lie type /." The Ohio State University, 2000. http://rave.ohiolink.edu/etdc/view?acc_num=osu1488203857248436.

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29

Graner, Nicholas. "Canonical Coordinates on Lie Groups and the Baker Campbell Hausdorff Formula." DigitalCommons@USU, 2018. https://digitalcommons.usu.edu/etd/7232.

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Lie Groups occur in math and physics as representations of continuous symmetries and are often described in terms of their Lie Algebra. This thesis is concerned with finding a concrete description of a Lie group given its associated Lie algebra. Several calculations toward this end are developed and then implemented in the Maple Differential Geometry package. Examples of the calculations are given.

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30

Beben, Piotr. "Decompositions of looped stiefel manifods with applications to James numbers and homotopy exponents." Thesis, Available from the University of Aberdeen Library and Historic Collections Digital Resources, 2009. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid=26023.

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31

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.

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32

Ramo, Johanna Maria. "On structural aspects of finite simple groups of Lie type." Thesis, Queen Mary, University of London, 2011. http://qmro.qmul.ac.uk/xmlui/handle/123456789/677.

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In this PhD thesis, we consider two problems that are related to finite simple groups of Lie type. First of them is a problem mentioned in the Kourovka notebook: describe the finite simple groups in which every element is a product of two involutions. We consider the simple orthogonal groups in even characteristic, and solve the problem for them. Since other groups have been dealt with elsewhere, the problem is then solved completely. The second part of the thesis is related to Lie algebras. Every complex simple Lie algebra has a compact real form that is associated with a compact Lie group. I

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33

Brozovic, Douglas P. "On lengths of chains in Lie type groups in characteristic 3 /." The Ohio State University, 1991. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487694389391864.

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34

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.

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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

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35

Lawther, Ross Ian. "On certain coset actions in finite groups of Lie type." Thesis, University of Cambridge, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.386092.

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36

Ramgulam, Usha. "Lie groups and Bäcklund transformations : application to nonlinear physical models." Thesis, Loughborough University, 1991. https://dspace.lboro.ac.uk/2134/26895.

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A diversity of physical phenomena is modelled by systems of nonlinear differential equations not, in general, amenable to exact solution. However, in certain cases, exploitation of hidden symmetries in the nonlinear models can lead to solutions and reduction to canonical systems. Invariance under Lie groups and/or Bäcklund transformations are two pivotal methods in this regard.

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37

Achar, Pramod Narahari 1976. "Equivariant coherent sheaves on the nilpotent cone for complex reductive Lie groups." Thesis, Massachusetts Institute of Technology, 2001. http://hdl.handle.net/1721.1/8642.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.<br>Includes bibliographical references (p. 71).<br>Let G be a connected complex reductive Lie group. We propose a certain bijection between the set of dominant integral weights of G, and the set of pairs consisting of a nilpotent coadjoint orbit and a finite-dimensional irreducible representation of the isotropy group of the orbit. A constructive proof of this bijection is given for the groups GL(n, C), and the bijection is established by direct calculation in a handful of particular groups. Partial progress is

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38

O'Brien, Ellen Marie. "Finitely asymptotic properties of powers of characters of compact semisimple Lie groups." Thesis, University of Ottawa (Canada), 1994. http://hdl.handle.net/10393/10307.

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This thesis has to do with decomposing tensor powers of irreducible representations of compact semisimple Lie groups or their Lie algebras. We will be concerned only with the set of irreducible representations appearing in the decomposition. In particular, we determine whether, for a sufficiently high tensor power, this set is "maximal", in a sense to be made more precise below. We rely on the theory of semisimple Lie algebras, and describe the results in terms of characters. A (reducible) character of a finite dimensional complex semisimple Lie algebra is saturated if for each of its dominant

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39

Cadavid, Carlos Alberto. "On a remarkable set of words in the mapping class group /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.

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40

Wilkes, Gareth. "Profinite properties of 3-manifold groups." Thesis, University of Oxford, 2018. http://ora.ox.ac.uk/objects/uuid:bb7bdd91-ab28-4190-9bcd-ff11a43a9e79.

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In this thesis we study the finite quotients of 3-manifold groups, concerning both residual properties of the groups and the properties of the 3-manifolds that can be detected using finite quotients of the fundamental group. A key theme is the analysis of when two 3-manifold groups can have the same families of finite quotients. We make a detailed study of this 'profinite rigidity' problem for Seifert fibre spaces and prove complete classification results for these manifolds. From Seifert fibre spaces we continue on this trajectory and extend our classification results to all graph manifolds.

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41

Wood, Lisa M. "ON THE SOLVABLE LENGTH OF ASSOCIATIVE ALGEBRAS, MATRIX GROUPS, AND LIE ALGEBRAS." NCSU, 2004. http://www.lib.ncsu.edu/theses/available/etd-10272004-164622/.

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Let A be an algebraic system with product a*b between elements a and b in A. It is of interest to compare the solvable length t with other invariants, for instance size, order, or dimension of A. Thus we ask, for a given t what is the smallest n such that there is an A of length t and invariant n. It is this problem that we consider for associative algebras, matrix groups, and Lie algebras. We consider A in each case to be subsets of (strictly) upper triangular n by n matrices. Then the invariant is n. We do these for the associative (Lie) algebras of all strictly upper triangular n by n matri

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42

Bernhardt, Karen 1977. "The generalized Harish-Chandra homomorphism for Hecke algebras of real reductive Lie groups." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/28922.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.<br>Includes bibliographical references (p. 73-74).<br>For complex reductive Lie algebras g, the classical Harish-Chandra homomorphism allows to link irreducible finite dimensional representations of g to those of certain subalgebras l. The Casselman-Osborne theorem establishes an extension of this link to infinite dimensional irreducible representations. In this paper we present a generalized Harish-Chandra homomorphism construction for Hecke algebras, and establish the corresponding generalized Casselman-Osborne

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43

Sepanski, Mark R. (Mark Roger). "L2(q) and the rank two lie groups : their construction, geometry, and character formulas." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/28089.

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44

Lin, Qian Ph D. Massachusetts Institute of Technology. "Modules over affine lie algebras at critical level and quantum groups by Qian Lin." Thesis, Massachusetts Institute of Technology, 2010. http://hdl.handle.net/1721.1/60195.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2010.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 45-47).<br>There are two algebras associated to a reductive Lie algebra g: the De Concini- Kac quantum algebra and the Kac-Moody Lie algebra. Recent results show that the principle block of De Concini -Kac quantum algebra at an odd root of unity with (some) fixed central character is equivalent to the core of a certain t-structure on the derived category of coherent sheaves on certain Springer Fiber. Meanwhile, a certain categor

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45

Henes, Matthew Thomas. "Root subgroups of the rank two unitary groups." CSUSB ScholarWorks, 2005. https://scholarworks.lib.csusb.edu/etd-project/2841.

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Discusses certain one-parameter subgroups of the low-rank unitary groups called root subgroups. Unitary groups also have representations of Lie type which means they consist of transformations that act as automorphisms of an underlying Lie algebra, in this case the special linear algebra. Exploring this definition of the unitary groups, we find a correlation, via exponentiation, to the basis elements of Lie algebra.

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46

Berry, Robert D. "A New Approach to Lie Symmetry Groups of Minimal Surfaces." BYU ScholarsArchive, 2004. https://scholarsarchive.byu.edu/etd/321.

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The Lie symmetry groups of minimal surfaces by way of planar harmonic functions are determined. It is shown that a symmetry group acting on the minimal surfaces is isomorphic with H × H^2 — the analytic functions and the harmonic functions. A subgroup of this gives a generalization of the associated family which is examined.

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47

Maher, David Graham School of Mathematics UNSW. "Brownian motion and heat kernels on compact lie groups and symmetric spaces." Awarded by:University of New South Wales. School of Mathematics, 2006. http://handle.unsw.edu.au/1959.4/28295.

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An important object of study in harmonic analysis is the heat equation. On a Euclidean space, the fundamental solution of the associated semigroup is known as the heat kernel, which is also the law of Brownian motion. Similar statements also hold in the case of a Lie group. By using the wrapping map of Dooley and ildberger, we show how to wrap a Brownian motion to a compact Lie group from its Lie algebra (viewed as a Euclidean space) and find the heat kernel. This is achieved by considering It??o type stochastic differential equations and applying the Feynman-Ka??c theorem. We also consider wr

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48

Paolini, Alessandro. "The irreducible characters of Sylow p-subgroups of split finite groups of Lie type." Thesis, University of Birmingham, 2016. http://etheses.bham.ac.uk//id/eprint/6716/.

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Let \(G\) be a split finite group of Lie type defined over F\(_q\), where \(q\)=\(p\)\(^e\) is a prime power and \(p\) is not a very bad prime for \(G\). Let \(U\) be a Sylow \(p\)-subgroup of \(G\). In this thesis, we provide a full parametrization of the set Irr(\(U\)) of irreducible characters of \(U\) when \(G\) is of rank 5 or less. In particular, for every character χ ∈ Irr(\(U\)) we determine an abelian subquotient of \(U\) such that χ is obtained by an inflation, followed by an induction of a linear character of this subquotient. The characters are given in most cases as the output of

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49

Battisti, Laurent. "Variétés toriques à éventail infini et construction de nouvelles variétés complexes compactes : quotients de groupes de Lie complexes et discrets." Thesis, Aix-Marseille, 2012. http://www.theses.fr/2012AIXM4714/document.

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L'objet de cette thèse est l'étude de certaines classes de variétés complexes compactes non kählériennes. On regarde d'abord la classe des surfaces de Kato. Étant donnés une surface de Kato minimale S, D le diviseur maximal de S formé des courbes rationnelles de S et ϖ : Š ͢ S le revêtement universel de S, on démontre que Š \ϖ-1 (D) est une variété de Stein. Les variétés LVMB sont la seconde classe de variétés non kählériennes étudiées. Ces variétés complexes sont obtenues en quotientant un ouvert U de Pn par un sous-groupe de Lie fermé G de (C*)n de dimension m. On reformule ce procédé en rem

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50

Medwid, Mark Edward. "Rigidity of Quasiconformal Maps on Carnot Groups." Bowling Green State University / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1497620176117104.

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