J. E. Humphreys, B. Bollobas, W. Fulton, A. Katok, F. Kirwan
Reflection Groups and Coxeter Groups
- ISBN 13:
- 9780521436137
- author:
- J. E. Humphreys, B. Bollobas, W. Fulton, A. Katok, F. Kirwan
- format:
- Paperback
- publisher:
- Cambridge University Press
- language:
- English
- Publication Year:
- 1992
- Pages:
- 220
- Genre:
- Mathematics Textbook
- Condition:
- New
- Availability:
- Item usually sent within 5 working days
Description
Reflection Groups and Coxeter Groups by James E. Humphreys provides a comprehensive introduction to the theory of Coxeter groups, assuming a good knowledge of algebra but being self-contained otherwise.
The book is divided into two parts, with the first part focusing on establishing concrete examples, including finite reflection groups and their geometric properties, as well as affine Weyl groups and their connection to Lie theory. The second part develops the properties of Coxeter groups, classifying them by Coxeter diagrams and discussing polynomial invariants.
With a range of topics covered, including classification, realizations, and combinatorial aspects, this graduate textbook is an ideal resource for those looking to explore the theory of Coxeter groups.
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