Download Representation Theory of Algebraic Groups and Quantum Groups (Advanced Studies in Pure Mathematics) ePub/PDF/Kindle books

This book is a collection of research and survey papers written by speakers at the Mathematical Society of Japan's 10th International Conference. It presents a comprehensive overview of developments in representation theory of algebraic groups and quantum groups. Particularly noteworthy are papers containing remarkable results concerning Lusztig's conjecture on cells in affine Weyl groups. The following topics were discussed: cells in affine Weyl groups, tilting modules, tensor categories attached to cells in affine Weyl groups, representations of algebraic groups in positive characteristic, representations of Hecke algebras, Ariki-Koike and cyclotomic $q$-Schur algebras, cellular algebras and diagram algebras, Gelfand-Graev representations of finite reductive groups, Green functions associated to complex reflection groups, induction theorem for Springer representations, representations of Lie algebras in positive characteristic, representations of quantum affine algebras, extremal weight modules, crystal bases, tropical Robinson-Schensted-Knuth correspondence and more. The material is suitable for graduate students and research mathematicians interested in representation theory of algebraic groups, Hecke algebras, quantum groups, and combinatorial theory. Information for our distributors: Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. All commercial channel discounts apply.
G. Williamson - Character formulas in the modular representation theory of algebraic groups I will review present two formulas for the characters of representations of reductive algebraic groups ...A gentle introduction to group representation theory -Peter Buergisser Optimization, Complexity and Invariant Theory Topic: A gentle introduction to group representation ...Representation theory of Lie groups and Lie algebras - Lec 17 - Frederic Schuller This is from a series of lectures - "Lectures on the Geometric Anatomy of Theoretical Physics" ...Representation Theory Representation theory is a branch of mathematics that studies abstract algebraic structures by ...Linear Algebraic Groups: an overview by Wilberd van der Kallen Representation theory of reductive algebraic groups-techniques and applications (Donna Testerman) 1 The lectures will serve as an introduction to the representation theory of reductive linear algebraic ...302.5A: Representations of Groups Beginning our discussion of the alternating group by thinking about representations of groups.Representation theory: Induced representations We define induced representations of finite groups in two ways as either left or right adjoints of the ...RT1: Representation Theory Basics Representation Theory: We present basic concepts about the representation theory of finite groups.Group Schemes: representation theory We introduce representations of affine group schemes. We prove that there is a bijective ...Representation theory: Frobenius groups We recall the definition of a Frobenius group as a transitive permutation group such that any ...Representation theory and geometry – Geordie Williamson – ICM2018 Plenary Lecture 17 Representation theory and geometry Geordie Williamson Abstract: One of the ...Representations of Finite Groups | Definitions and simple examples. We define the notion of a representation of a group on a finite dimensional complex vector space.Geordie Williamson: Parity sheaves and modular representations I This is a talk of Gordie Williamson given at the Harvard CDM Conference of November 23, 2019.Representation theory: Introduction This lecture is an introduction to representation theory of finite groups. We define linear and ...Representation theory of reductive algebraic groups-techniques and applications (Donna Testerman) 3 Representation theory of reductive algebraic groups-techniques and applications (Donna Testerman) 2 What is REPRESENTATION THEORY? What does REPRESENTATION THEORY mean? ... operator theory, algebraic combinatorics and topology. The success of representation theory has ...A quick introduction to group representations Finite groups as algebraic groups in defining characteristic - Raphaël Rouquier ... on Geometric and Modular Representation Theory Topic: Finite groups as algebraic groups in ...