Reflection Groups and Coxeter Groups Paperback / softback
by James E. (Retired Professor, University of Massachusetts, Amherst) Humphreys
Part of the Cambridge Studies in Advanced Mathematics series
Paperback / softback
Description
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.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:220 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:01/10/1992
- Category:
- ISBN:9780521436137
Information
-
Out of stock
- Format:Paperback / softback
- Pages:220 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:01/10/1992
- Category:
- ISBN:9780521436137
