Reflection groups and coxeter groups (Record no. 2653)

000 -LEADER
fixed length control field 01907nam a22002057a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240926115346.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190424b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780521436137
040 ## - CATALOGING SOURCE
Transcribing agency Tata Book House
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA171
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name James E. Humphreys
245 ## - TITLE STATEMENT
Title Reflection groups and coxeter groups
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New York:
Name of publisher, distributor, etc. Cambridge University Press,
Date of publication, distribution, etc. [c1990]
300 ## - Physical Description
Pages: 204 p
490 ## - SERIES STATEMENT
Series statement Cambridge Studies in Advanced Mathematics
Volume/sequential designation 29
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note I - Finite and affine reflection groups <br/>1 - Finite reflection groups <br/>2 - Classification of finite reflection groups <br/>3 - Polynomial invariants of finite reflection groups <br/>4 - Affine reflection groups <br/><br/>II - General theory of Coxeter groups<br/>5 - Coxeter groups <br/>6 - Special cases <br/>7 - Hecke algebras and Kazhdan–Lusztig polynomials <br/>8 - Complements
520 ## - SUMMARY, ETC.
Summary, etc. 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. --- summary provided by publisher
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 4 04/24/2019 QA171 01990 Book