Results 21 to 30 of about 261 (163)
COMPLEX SEMISIMPLE QUANTUM GROUPS AND REPRESENTATION THEORY [PDF]
, 2019 This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups.
Yuncken, Robert, Voigt, Christian
core +1 more source
Quantized semisimple Lie groups [PDF]
summary:The goal of this expository paper is to give a quick introduction to $q$-deformations of semisimple Lie groups. We discuss principally the rank one examples of $\mathcal{U}_q(\mathfrak{sl}_2)$, $\mathcal{O}(\mathrm{SU}_q(2))$, $\mathcal{D ...
Yuncken, Robert, Fioresi, Rita
core +1 more source
Automorphisms and twisted vertex operators [PDF]
, 1987 This work is an examination of various aspects of twisted vertex operator representations of Kac-Moody algebras. It starts with an introduction to Kac-Moody algebras and string theories, including a discussion of the propagation of strings on orbifolds ...
Myhill, R.G, Myhill, Richard Graham
core
Invariant algebras and completely reducible representations [PDF]
, 1994 We give a general construction of affine noetherian algebras with the property that every finite dimensional representation is completely reducible. Starting from enveloping algebras of semi simple Lie algebras in characteristic zero we obtain explicit ...
Kraft, Hanspeter, Small, Lance W.
core
Beurling–Fourier algebras of q-deformations of compact semisimple Lie groups and complexification [PDF]
We study Beurling–Fourier algebras of q-deformations of compact semisimple Lie groups. In particular, we show that the space of irreducible representations of the function algebras of their Drinfeld doubles is exhausted by the irreducible representations
Voigt, Christian, Lee, Heon
core +3 more sources
Lie algebras: infinite generalizations and deformations [PDF]
, 1990 There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas.
Fletcher, Paul, Fletcher, P
core
Lie groups, lie algebras, and representations: an elementary introduction
, 2015 This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear ...
Hall, Brian
core +1 more source
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
core +1 more source
The local Langlands correspondence for inner forms of SL_n
, 2016 Let F be a non-archimedean local field. We establish the local Langlands correspondence for all inner forms of the group SLn(F). It takes the form of a bijection between, on the one hand, conjugacy classes of Langlands parameters for SLn(F) enhanced with ...
Aubert, Anne-Marie +11 more
core +1 more source
Representations of sl(2,?) in category O and master symmetries [PDF]
, 2015 We show that the indecomposable sl(2,?)-modules in the Bernstein-Gelfand-Gelfand category O naturally arise for homogeneous integrable nonlinear evolution systems. We then develop a new approach called the O scheme to construct master symmetries for such
J. P. Wang, Wang, Jing Ping
core +1 more source