Results 41 to 50 of about 176 (51)
Quantization of semisimple real Lie groups [PDF]
summary:We provide a novel construction of quantized universal enveloping $*$-algebras of real semisimple Lie algebras, based on Letzter’s theory of quantum symmetric pairs.
De Commer, Kenny
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Lie Algebras and their Representations
An introduction to Lie algebras and their representations following Fulton and Harris, Representation Theory: A First Course, as covered for a reading project throughout Spring 2024. When nothing else is noted, the text follows Fulton and Harris closely,
He, Zuxian +5 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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On the simple representations of generalized quantum groups and quantum doubles [PDF]
, 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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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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The symplectic ideal and a double centraliser theorem
, 2007 Let G be a reductive connected linear algebraic group over an algebraically closed field of positive characteristic and let g be its Lie algebra. First we correct and generalise a well-known result about the Picard group of G.
Tange, Rudolf
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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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Helgason-Schiman formaula for semisimple lie groups of arbitary rank
, 2014 This paper extends the Heigason-Schiffman formula for the H-function on a sernisimp'e Lie group of real rank one to cover a semisimple Lie group G of arbitrary real rank A set of analytic R -valued cocycles are deduced for certain real rank one subgroups
Oyadare, O. O., Bassey, U. N.
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No-cycle algebras and representation theory [PDF]
In the first half of this dissertation we study certain quotient algebras of preprojective algebras called no-cycle algebras N. These are studied via one-cycle algebras, which are introduced here.
Boddington, Paul
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