Representation Theory Of Algebraic Groups And Quantum Groups

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Representation Theory of Algebraic Groups and Quantum Groups

Author: Toshiaki Shoji
language: en
Publisher: American Mathematical Society(RI)
Release Date: 2004
A collection of research and survey papers written by speakers at the Mathematical Society of Japan's 10th International Conference. This title presents an overview of developments in representation theory of algebraic groups and quantum groups. It includes papers containing results concerning Lusztig's conjecture on cells in affine Weyl groups.
Representations of Algebraic Groups

Author: Jens Carsten Jantzen
language: en
Publisher: American Mathematical Soc.
Release Date: 2003
Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.