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Polynomial bases for the irreducible representations of SU(4).Jakimow, George January 1968 (has links)
No description available.
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Compact Group Actions and Harmonic AnalysisChung, Kin Hoong, School of Mathematics, UNSW January 2000 (has links)
A large part of the structure of the objects in the theory of Dooley and Wildberger [Funktsional. Anal. I Prilozhen. 27 (1993), no. 1, 25-32] and that of Rouviere [Compositio Math. 73 (1990), no. 3, 241-270] can be described by considering a connected, finite-dimentional symmetric space G/H (as defined by Rouviere), with ???exponential map???, Exp, from L G/L H to G/H, an action, ???: K ??? Aut??(G) (where Aut?? (G) is the projection onto G/H of all the automorphisms of G which leave H invariant), of a Lie group, K, on G/H and the corresponding action, ???# , of K on L G/L H defined by g ??? L (???g), along with a quadruple (s, E, j, E#), where s is a ???# - invariant, open neighbourhood of 0 in L G/L H, E is a test-function subspace of C??? (Exp s), j ?? C??? (s), and E# is a test-function subspace of C??? (s) which contains { j.f Exp: f ?? E }. Of interest is the question: Is the function ???: ?? ??? ????, where ??: f ??? j.f Exp, a local associative algebra homomorphism from F# with multiplication defined via convolution with respect to a function e: s x s ??? C, to F, with the usual convolution for its multiplication (where F is the space of all ??? - invariant distributions of E and F# is the space of all ???# - invariant distributions of E#)? For this system of objects, we can show that, to some extent, the choice of the function j is not critical, for it can be ???absorbed??? into the function e. Also, when K is compact, we can show that ??? ker ?? = { f ?? E : ???k f (???g) dg = 0}. These results turn out to be very useful for calculations on s2 ??? G/H, where G = SO(3) and H??? SO(3) with H ??? SO(2) with ??? : h ??? Lh, as we can use these results to show that there is no quadruple (s, E, j, E#) for SO(3)/H with j analytic in some neighbourhood of 0 such that ??? is a local homomorphism from F# to F. Moreover, we can show that there is more than one solution for the case where s, E and E# are as chosen by Rouviere, if e is does not have to satisfy e(??,??) = e(??,??).
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Compact group actions and harmonic analysis /Chung, Kin Hoong. January 1999 (has links)
Thesis (Ph. D.)--University of New South Wales, 1999. / Includes bibliographical references and index. Also available online.
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Subgroups of the symmetric group of degree n containing an n-cycle /Charlebois, Joanne January 1900 (has links)
Thesis (M.Sc.) - Carleton University, 2002. / Includes bibliographical references (p. 40-43). Also available in electronic format on the Internet.
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A closed form for the Kazhdan-Lusztig polynomials for real reductive lie groups with the Cayley singleton property /Keynes, Michael S. January 1999 (has links)
Thesis (Ph. D.)--University of Washington, 1999. / Vita. Includes bibliographical references (p. 79-80).
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Hauptorbiten bei topologischen Aktionen kompakter LiegruppenHauschild, Volker. January 1976 (has links)
Thesis--Bonn. / Extra t.p. with thesis statement inserted. Includes bibliographical references.
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Heat equations on Lie groups, symmetric spaces and Riemannian mainfolds /Kim, Jinman. January 2005 (has links)
Thesis (Ph.D.)--York University, 2005. Graduate Programme in Mathematics and Statistics. / Typescript. Includes bibliographical references (leaves 78-83). Also available on the Internet. MODE OF ACCESS via web browser by entering the following URL: http://wwwlib.umi.com/cr/yorku/fullcit?pNR11588
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Paley-Wiener theorems and surjectivity of invariant differential operators on symmetric spaces and Lie groupsHelgason, S. January 1973 (has links)
First published in the Bulletin of the American Mathematical Society in Vol.79, 1973, published by the American Mathematical Society
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A mathematical explanation of the transition between laminar and turbulent flow in Newtonian fluids, using the Lie groups and finite element methodsGoufo, Emile Franc Doungmo 31 August 2007 (has links)
In this scientific work, we use two effective methods : Lie groups theory and the finite
element method, to explain why the transition from laminar flow to turbulence flow
depends on the variation of the Reynolds number. We restrict ourselves to the case
of incompressible viscous Newtonian fluid flows. Their governing equations, i.e. the
continuity and Navier-Stokes equations are established and investigated. Their solutions
are expressed explicitly thanks to Lie's theory. The stability theory, which leads to an
eigenvalue problem is used together with the finite element method, showing a way to
compute the critical Reynolds number, for which the transition to turbulence occurs.
The stationary flow is also studied and a finite element method, the Newton method, is
used to prove the stability of its convergence, which is guaranteed for small variations of
the Reynolds number. / Mathematical Sciences / M.Sc. (Applied Mathematics)
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Grupos de Lie compactos / Compact Lie groupsLacerda, Conrado Damato de, 1986- 18 August 2018 (has links)
Orientador: Luiz Antonio Barrera San Martin / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica / Made available in DSpace on 2018-08-18T06:52:41Z (GMT). No. of bitstreams: 1
Lacerda_ConradoDamatode_M.pdf: 1208692 bytes, checksum: 167da419a80e3fe06963795a1b3fea2d (MD5)
Previous issue date: 2011 / Resumo: Neste trabalho apresentamos os principais resultados da teoria dos grupos de Lie compactos e provamos o Teorema de Weyl sobre os seus grupos fundamentais / Abstract: In this work we present the main results about compact Lie groups and prove Weyl's Theorem on their fundamental groups / Mestrado / Teoria de Lie / Mestre em Matemática
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