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Reflection groups and coxeter groups

Humphreys, James E.

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Reflection groups and coxeter groups

Record Type:	Electronic resources : Monograph/item
Title/Author:	Reflection groups and coxeter groups/ James E. Humphreys.
remainder title:	Reflection Groups & Coxeter Groups
Author:	Humphreys, James E.
Published:	Cambridge :Cambridge University Press, : 1990.,
Description:	xii, 204 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Coxeter groups. -
Online resource:	https://doi.org/10.1017/CBO9780511623646
ISBN:	9780511623646

Reflection groups and coxeter groups
Humphreys, James E.

Reflection groups and coxeter groups[electronic resource] /Reflection Groups & Coxeter GroupsJames E. Humphreys. - Cambridge :Cambridge University Press,1990. - xii, 204 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;29. - Cambridge studies in advanced mathematics ;29..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511623646Subjects--Topical Terms:

752055
Coxeter groups.

LC Class. No.: QA174.2 / .H833 1990

Dewey Class. No.: 512.2

Reflection groups and coxeter groups
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100 1 $a Humphreys, James E. $3 706119
245 1 0 $a Reflection groups and coxeter groups $h [electronic resource] / $c James E. Humphreys.
246 3 $a Reflection Groups & Coxeter Groups
260 $a Cambridge : $b Cambridge University Press, $c 1990.
300 $a xii, 204 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 29
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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.
650 0 $a Coxeter groups. $3 752055
650 0 $a Reflection groups. $3 984384
830 0 $a Cambridge studies in advanced mathematics ; $v 29. $3 3470719
856 4 0 $u https://doi.org/10.1017/CBO9780511623646