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 ...
