Reflection Groups and Coxeter Groups

Author:   James E. Humphreys (Retired Professor, University of Massachusetts, Amherst)
Publisher:   Cambridge University Press
Volume:   29
ISBN:  

9780511623646


Publication Date:   05 June 2012
Format:   Undefined
Availability:   Available To Order   Availability explained
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Reflection Groups and Coxeter Groups


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Author:   James E. Humphreys (Retired Professor, University of Massachusetts, Amherst)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
Volume:   29
ISBN:  

9780511623646


ISBN 10:   051162364
Publication Date:   05 June 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

Part I. Finite and Affine Reflection Groups: 1. Finite reflection groups; 2. Classification of finite reflection groups; 3. Polynomial invariants of finite reflection groups; 4. Affine reflection groups; Part II. General Theory of Coxeter Groups: 5. Coxeter groups; 6. Special case; 7. Hecke algebras and Kazhdan–Lusztig polynomials; 8. Complements; Bibliography.

Reviews

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


"""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"


""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


Author Information

James E. Humphreys was born in Erie, Pennsylvania, and received his A.B. from Oberlin College, 1961, and his Ph.D. from Yale University, 1966. He has taught at the University of Oregon, Courant Institute (NYU), and the University of Massachusetts at Amherst (now retired). He visits IAS Princeton, Rutgers. He is the author of several graduate texts and monographs.

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