Results 31 to 40 of about 261 (163)
, 2010 Let g be a simple complex Lie algebra and let e be a nilpotent element of g. It was conjectured by Premet in [P07i] that the finite W-algebra U(g; e) admits a 1-dimensional representation, and further work [L10, P08] has reduced this conjecture to the ...
Ubly, Glenn
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SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]
, 2002 An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic ...
Vasantha, Kandasamy
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On mapping class group quotients by powers of Dehn twists and their representations
, 2021 International audienceThe aim of this chapter is to survey some known results about mapping class group quotients by powers of Dehn twists, related to their finite dimensional representations and to state some open questions.
Funar, Louis, Louis Funar
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Exotic components of SO(p, q) surface group representations, and their Higgs bundle avatars [PDF]
, 2017 For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group.
Steven Bradlow +12 more
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Classification of finite-dimensional modules over semisimple Lie algebras
, 2023 Sophus Lie (1842-1899) known as the founder of the theory of transformation groups, originally aimed to study solutions of differential equations via their symmetries. Over the decades this theory has evolved into the theory of Lie groups.
Liu, Jin Jun (author)
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Theory of Group Representations and Fourier Analysis
, 2011 A. Figa Talamanca: Random Fourier series on compact groups.- S. Helgason: Representations of semisimple Lie groups.- H. Jacquet: Representations des groupes lineaires p-adiques.- G.W.
Gherardelli, F
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On the simple representations of generalized quantum groups and quantum doubles
, 2008 A highest weight theory is developed for a general class of algebras which includes generalizations of the quantum groups Uq(g) and their finite-dimensional versions, g a semisimple Lie algebra. A basic finiteness result on irreducible representations is
Radford, David E. +3 more
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Compact Lie groups and their representations
, 1973 The content of this book is somewhat different from that of traditional books on representation theory. First, bearing in mind the needs of physicists, the author has tried to make the exposition as elementary as possible.
Zelobenko, D P
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Conjugating Representations and Related Results on Semisimple Lie Groups [PDF]
Transactions of the American Mathematical Society, 1967 Introduction. In applying symmetry considerations to quantum mechanics, one is often forced to consider representations T of a symmetry group G by means of Hilbert space operators which may be either unitary or conjugate-unitary. Indeed, in some situations there is a well-determined subgroup N of G (necessarily normal and of index 2 in G) such that T ...
openaire +2 more sources
On extended structures in affine Toda field theory [PDF]
, 1996 Two areas of affine Toda field theory are explored in this thesis. First the introduction of a boundary into the real coupling affine Toda field theory.
Harder, Ulrich Karl Priedrich
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