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Reflection Groups and Coxeter Groups by James E. Humphreys (1992 Trade Paperback - Picture 1 of 1

Cambridge Studies in Advanced Mathematics Ser.: Reflection Groups and Coxeter Groups by James E. Humphreys (1992, Trade Paperback)

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ISBN: 9780521436137.

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In this graduate textbook Professor Humphreys presents a concrete and up-to-date introduction to the theory of Coxeter groups. He assumes that the reader has a good knowledge of algebra, but otherwise the book is self contained. The first part is devoted to establishing concrete examples; the author begins by developing the most important facts about finite reflection groups and related geometry, and showing that such groups have a Coxeter representation. In the next chapter these groups are classified by Coxeter diagrams, and actual realizations of these groups are discussed. Chapter 3 discusses the polynomial invariants of finite reflection groups, and the first part ends with a description of the affine Weyl groups and the way they arise in Lie theory. The second part (which is logically independent of, but motivated by, the first) starts by developing the properties of the Coxeter groups. Chapter 6 shows how earlier examples and others fit into the general classification of Coxeter diagrams. Chapter 7 is based on the very important work of Kazhdan and Lusztig and the last chapter presents a number of miscellaneous topics of a combinatorial nature.

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
0521436133
ISBN-13
9780521436137
eBay Product ID (ePID)
1064087

Product Key Features

Author
James E. Humphreys
Publication Name
Reflection Groups and Coxeter Groups
Format
Trade Paperback
Language
English
Publication Year
1992
Series
Cambridge Studies in Advanced Mathematics Ser.
Type
Textbook
Number of Pages
220 Pages

Dimensions

Item Length
9in
Item Height
0.6in
Item Width
6.1in
Item Weight
12.3 Oz

Additional Product Features

Series Volume Number
Series Number 29
Lc Classification Number
Qa177 .H86 1990
Reviews
"...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
Table of Content
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.
Topic
Group Theory, Algebra / General
Lccn
93-109267
Intended Audience
Scholarly & Professional
Illustrated
Yes
Genre
Mathematics

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Cambridge Studies in Advanced Mathematics Ser.: Reflection Groups and Coxeter Groups by James E. Humphreys (1992, Trade Paperback)

About this product

Product Information

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Additional Product Features

All listings for this product

item 1 Reflection Groups and Coxeter - Paperback, by Humphreys James E. - Acceptable

item 2 Reflection Groups and Coxeter Groups by James E. Humphreys (1992 Trade Paperback

item 3 Reflection Groups and Coxeter Groups, Paperback by Humphreys, James E., Like ...

item 4 Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics,

item 5 Reflection Groups and Coxeter Groups by James E. Humphreys: New

item 6 Reflection Groups and Coxeter Group (Paperback or Softback)

item 7 Reflection Groups and Coxeter Groups: By Humphreys, James E.

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