The Decomposition Into Cells of the Affine Weyl Groups of Type A.
Title | The Decomposition Into Cells of the Affine Weyl Groups of Type A. PDF eBook |
Author | J. Y. Shi |
Publisher | |
Pages | 0 |
Release | 1984 |
Genre | |
ISBN |
The Decomposition Into Cells of the Affine Weyl Groups of Type A
Title | The Decomposition Into Cells of the Affine Weyl Groups of Type A PDF eBook |
Author | Jian-Yi Shi |
Publisher | |
Pages | 466 |
Release | 2018 |
Genre | Coxeter groups |
ISBN |
The Kazhdan-Lusztig Cells in Certain Affine Weyl Groups
Title | The Kazhdan-Lusztig Cells in Certain Affine Weyl Groups PDF eBook |
Author | Jian-Yi Shi |
Publisher | Springer |
Pages | 318 |
Release | 2006-11-14 |
Genre | Mathematics |
ISBN | 3540397809 |
Combinatorics of Coxeter Groups
Title | Combinatorics of Coxeter Groups PDF eBook |
Author | Anders Bjorner |
Publisher | Springer Science & Business Media |
Pages | 371 |
Release | 2006-02-25 |
Genre | Mathematics |
ISBN | 3540275967 |
Includes a rich variety of exercises to accompany the exposition of Coxeter groups Coxeter groups have already been exposited from algebraic and geometric perspectives, but this book will be presenting the combinatorial aspects of Coxeter groups
Kazhdan-Lusztig Cells in Affine Weyl Groups with Unequal Parameters
Title | Kazhdan-Lusztig Cells in Affine Weyl Groups with Unequal Parameters PDF eBook |
Author | Jérémie Guilhot |
Publisher | |
Pages | 120 |
Release | 2008 |
Genre | Hecke algebras |
ISBN |
Hecke algebras arise naturally in the representation theory of reductive groups over finite or p-adic fields. These algebras are specializations of Iwahori-Hecke algebras which can be defined in terms of a Coxeter group and a weight function without reference to reductive groups and this is the setting we are working in. Kazhdan-Lusztig cells play a crucial role in the study of Iwahori-Hecke algebras. The aim of this work is to study the Kazhdan-Lusztig cells in affine Weyl groups with unequal parameters. More precisely, we show that the Kazhdan-Lusztig polynomials of an affine Weyl group are invariant under ``long enough'' translations, we decompose the lowest two-sided cell into left cells and we determine the decomposition of the affine Weyl group of type G into cells for a whole class of weight functions.
The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type $\widetilde {A}_{n-1}$
Title | The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type $\widetilde {A}_{n-1}$ PDF eBook |
Author | Nanhua Xi |
Publisher | American Mathematical Soc. |
Pages | 114 |
Release | 2002 |
Genre | Mathematics |
ISBN | 0821828916 |
In this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.
Group Theory in China
Title | Group Theory in China PDF eBook |
Author | Zhexian Wan |
Publisher | Springer Science & Business Media |
Pages | 282 |
Release | 1996 |
Genre | Mathematics |
ISBN | 9780792339892 |
Hsio-Fu Tuan is a Chinese mathematician who has made important contributions to the theories of both finite groups and Lie groups. He has also had a great influence on the development of algebra, and particularly group theory in China. The present volume consists of a collection of essays on various aspects of group theory written by some of his former students and colleagues in honour of his 80th birthday. The papers contain the main general results, as well as recent ones, on certain topics within this discipline. The chief editor, Zhe-Xian Wan, is a leading algebraist in China.