The Decomposition Into Cells Of The Affine Weyl Groups Of Type A
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The Decomposition Into Cells Of The Affine Weyl Groups Of Type A
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Author : J. Y. Shi
language : en
Publisher:
Release Date : 1984
The Decomposition Into Cells Of The Affine Weyl Groups Of Type A written by J. Y. Shi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
The Decomposition Into Cells Of The Affine Weyl Groups Of Type A
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Author : Jian-Yi Shi
language : en
Publisher:
Release Date : 2018
The Decomposition Into Cells Of The Affine Weyl Groups Of Type A written by Jian-Yi Shi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Coxeter groups categories.
The Kazhdan Lusztig Cells In Certain Affine Weyl Groups
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Author : Jian-Yi Shi
language : en
Publisher: Springer
Release Date : 2006-11-14
The Kazhdan Lusztig Cells In Certain Affine Weyl Groups written by Jian-Yi Shi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Kazhdan Lusztig Cells With Unequal Parameters
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Author : Cédric Bonnafé
language : en
Publisher: Springer
Release Date : 2018-05-07
Kazhdan Lusztig Cells With Unequal Parameters written by Cédric Bonnafé and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-07 with Mathematics categories.
This monograph provides a comprehensive introduction to the Kazhdan-Lusztig theory of cells in the broader context of the unequal parameter case. Serving as a useful reference, the present volume offers a synthesis of significant advances made since Lusztig’s seminal work on the subject was published in 2002. The focus lies on the combinatorics of the partition into cells for general Coxeter groups, with special attention given to induction methods, cellular maps and the role of Lusztig's conjectures. Using only algebraic and combinatorial methods, the author carefully develops proofs, discusses open conjectures, and presents recent research, including a chapter on the action of the cactus group. Kazhdan-Lusztig Cells with Unequal Parameters will appeal to graduate students and researchers interested in related subject areas, such as Lie theory, representation theory, and combinatorics of Coxeter groups. Useful examples and various exercises make this book suitable for self-study and use alongside lecture courses. Information for readers: The character {\mathbb{Z}} has been corrupted in the print edition of this book and appears incorrectly with a diagonal line running through the symbol.
The Based Ring Of Two Sided Cells Of Affine Weyl Groups Of Type Widetilde A N 1
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Author : Nanhua Xi
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
The Based Ring Of Two Sided Cells Of Affine Weyl Groups Of Type Widetilde A N 1 written by Nanhua Xi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
In this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.
Representations Of Affine Hecke Algebras
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Author : Nanhua Xi
language : en
Publisher: Springer
Release Date : 2006-11-15
Representations Of Affine Hecke Algebras written by Nanhua Xi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent. Math. 1987). Ginzburg had some very interesting work on affine Hecke algebras. Combining these results simple Hq-modules can be classified provided that the order of q is not too small. These Lecture Notes of N. Xi show that the classification of simple Hq-modules is essentially different from general cases when q is a root of 1 of certain orders. In addition the based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras. Basic knowledge of abstract algebra is enough to read one third of the book. Some knowledge of K-theory, algebraic group, and Kazhdan-Lusztig cell of Cexeter group is useful for the rest
Combinatorics Of Coxeter Groups
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Author : Anders Bjorner
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-25
Combinatorics Of Coxeter Groups written by Anders Bjorner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-25 with Mathematics categories.
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
Group Theory In China
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Author : Zhexian Wan
language : en
Publisher: Springer Science & Business Media
Release Date : 1996
Group Theory In China written by Zhexian Wan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
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.
Reflection Groups And Coxeter Groups
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Author : James E. Humphreys
language : en
Publisher: Cambridge University Press
Release Date : 1992-10
Reflection Groups And Coxeter Groups written by James E. Humphreys and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10 with Mathematics categories.
This graduate textbook presents a concrete and up-to-date introduction to the theory of Coxeter groups. The book is self-contained, making it suitable either for courses and seminars or for self-study. The first part is devoted to establishing concrete examples. Finite reflection groups acting on Euclidean spaces are discussed, and the first part ends with the construction of the affine Weyl groups, a class of Coxeter groups that plays a major role in Lie theory. The second part (which is logically independent of, but motivated by, the first) develops from scratch the properties of Coxeter groups in general, including the Bruhat ordering and the seminal work of Kazhdan and Lusztig on representations of Hecke algebras associated with Coxeter groups is introduced. Finally a number of interesting complementary topics as well as connections with Lie theory are sketched. The book concludes with an extensive bibliography on Coxeter groups and their applications.
Classical Groups And Related Topics
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Author : Alexander Hahn
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Classical Groups And Related Topics written by Alexander Hahn and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
During his lifetime, L. K. Hua played a leading role in and exerted a great influence upon the development in China of modern mathematics, both pure and applied. His mathematical career began in 1931 at Tsinghua University where he continued as a professor for many years. Hua made many significant contributions to number theory, algebra, geometry, complex analysis, numerical analysis, and operations research. In particular, he initiated the study of classical groups in China and developed new matrix methods which, as applied by him as well as his followers, were instrumental in the successful attack of many problems. To honor his memory, a joint China-U.S. conference on Classical Groups and Related Topics was held at Tsinghua University in Beijing in May 1987. This volume represents the proceedings of that conference and contains both survey articles and research papers focusing on classical groups and closely related topics.