000			01606 a2200205 4500
003			OSt
020			_a9780511623646
040			_cIIT Kanpur
041			_aeng
082			_a512.2 _bH888r
100			_aHumphreys, James E.
245			_aReflection groups and coxeter groups [Perpetual access] _cJames E. Humphreys
260			_bCambridge University Press _c1990 _aCambridge
300			_axii, 204p
520			_aThis 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.
650			_aReflection groups
650			_aCoxeter groups
856			_uhttps://www.cambridge.org/core/books/reflection-groups-and-coxeter-groups/2910C1E00877D33A04A512791B6EDD72#fndtn-information
942			_cEBK
999			_c565187 _d565187