Reflection Groups and Coxeter Groups - Brossura

Humphreys, James E.

Brossura

ISBN 10: 0521436133 ISBN 13: 9780521436137

Casa editrice: Cambridge University Press, 1992

Riassunto

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.

Su questo libro

Recensione:

"This is a book which can be recommended to both beginners and more experienced workers with an interest in Coxeter groups. In common with all of Humphrey's books, it is written in a clear and helpful expository style, and so gives an excellent introduction to the subject. At the same time the material dealing with recent developments such as Kazhdan-Lusztig theory will be most useful to specialists in the area." Bulletin of the London Mathematical Society

"...a useful book. The style is informal and the arguments are clear." Louis Solomon, Mathematical Reviews

Descrizione del libro:

A self-contained graduate textbook introducing the basic theory of Coxeter groups.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1992
• ISBN 10: 0521436133
• ISBN 13: 9780521436137
• Rilegatura: Copertina flessibile
• Numero di pagine: 216