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Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics, Series Number 29) - Hardcover
Synopsis
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.
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Review
"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
Book Description
A self-contained graduate textbook introducing the basic theory of Coxeter groups.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date1990
- ISBN 10 052137510X
- ISBN 13 9780521375108
- BindingHardcover
- LanguageEnglish
- Number of pages213
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Reflection Groups and Coxeter Groups
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Cambridge University Press, 1990
ISBN 10: 052137510X
ISBN 13: 9780521375108
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Condition: Poor. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In poor condition, suitable as a reading copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:9780521375108. Seller Inventory # 3946460
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Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics)
Published by
Cambridge University Press, 1990
ISBN 10: 052137510X
ISBN 13: 9780521375108
Used
Hardcover
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Reflection Groups and Coxeter Groups
Published by
Cambridge University Press, 1990
ISBN 10: 052137510X
ISBN 13: 9780521375108
Used
Hardcover
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Seller rating 4 out of 5 stars
Hardcover. Condition: Good. Gently used copy with only minor signs of wear. Clean and fresh internally. Spine intact, bindings solid and secure. Publisher's note: A self-contained graduate textbook introducing the basic theory of Coxeter groups. Size: 23.6 x 15.6 x 1.6 cm. xii, 204 pp. Shipped Weight: Under 500 grams. Category: Mathematics ; Homology theory; Lie groups; Topological groups; Lie groups; Topological groups; ISBN: 052137510X. ISBN/EAN: 9780521375108. Add. Inventory No: 250321CTY0714751. Seller Inventory # 250321CTY0714751
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Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics, Series Number 29)
Published by
Cambridge University Press, 1990
ISBN 10: 052137510X
ISBN 13: 9780521375108
Used
Hardcover
Seller: dsmbooks, Liverpool, United Kingdom
Seller rating 4 out of 5 stars
hardcover. Condition: Acceptable. Acceptable. book. Seller Inventory # D7S9-1-M-052137510X-4
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