000 02278nam a22003738i 4500
001 CR9780511623646
003 UkCbUP
005 20200124160211.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090916s1990||||enk o ||1 0|eng|d
020 _a9780511623646 (ebook)
020 _z9780521375108 (hardback)
020 _z9780521436137 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 4 _aQA174.2
_b.H833 1990
082 0 0 _a512/.2
_220
100 1 _aHumphreys, James E.,
_eauthor.
245 1 0 _aReflection groups and coxeter groups /
_cJames E. Humphreys.
246 3 _aReflection Groups & Coxeter Groups
264 1 _aCambridge :
_bCambridge University Press,
_c1990.
300 _a1 online resource (xii, 204 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v29
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
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 0 _aCoxeter groups.
650 0 _aReflection groups.
776 0 8 _iPrint version:
_z9780521375108
830 0 _aCambridge studies in advanced mathematics ;
_v29.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511623646
999 _c515849
_d515847