Download Citation on ResearchGate | Reflection groups and coxeter groups / James E. Humphreys | Incluye bibliografía e índice }. 1 Finite Reflection Groups. 3. 2 Root systems. 6. 3 Generators and Relations. 4 Coxeter group. 5 Geometric representation of W(mij). 6 Fundamental. Reflection Groups and Coxeter Group has 9 ratings and 2 reviews. Ben said: I really enjoyed this book, especially chapters It certainly helped that.

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Reflection Groups and Coxeter Groups – James E. Humphreys – Google Books

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. Assuming that the reader has a good knowledge of algebra, this concrete and up-to-date introduction to the theory of Coxeter groups is otherwise self contained, making it suitable for self-study as well as reflecyion.

Steffen Ehrenberg added it Mar 17, Classification of finite reflection groups; 3. Humphreys was born in Erie, Pennsylvania, and received his A.

Account Options Sign in. The Architect marked it as to-read May 20, Return to Book Page. Dispatched from the UK in 1 business day When will my order arrive?


Just a moment while we sign you in to your Goodreads account. The style is informal and the coxetef are clear. Humphreys was born in Erie, Pennsylvania, and received his A. Finite and Affine Reflection Groups: There are a bunch of things I have been vaguely hearing about for a long time and I knew the definition but it seemed kinda random and I didn’t understand how it was connected to anything, and which I now fully understand why people love them: Looking for beautiful books?

Goodreads helps you keep track of books you want to read. The first part is devoted to establishing concrete examples; the author No trivia or quizzes yet. Book ratings by Goodreads. Open Preview See a Problem? Thanks for telling us about the problem.

Reflection Groups and Coxeter Group

BookDB marked it as to-read Sep 18, Because most of what was going on was so well-motivated and well-explained, and because the exercises were interspersed with the text and there were not very many — kind of just enough to let you check you know what is going on — groupw went pretty quickly and didn’t force me to devote more time to it than I had.

Chapter 6 shows how earlier examples and others fit into the general classification of Coxeter diagrams. My library Help Advanced Book Search. Koltai Laszlo is currently reading it Nov 04, Page – Invariants of finite reflection groups and mean value problems, Amer.


Sean Elvidge rated it it was amazing Jan 18, Hecke algebras and KazhdanLusztig polynomials. Books by James E. He is the author of several graduate texts and monographs.

Be the first to ask a question about Reflection Groups and Coxeter Group. In common with all of Humphrey’s books, it is written in a clear and helpful expository style, and so froups an excellent introduction to the subject.

The second part which is logically independent of, but motivated by, the first develops from scratch the properties of Coxeter groups in gruops, including the Bruhat ordering and the seminal work of Kazhdan and Lusztig on representations of Hecke algebras associated with Coxeter groups is introduced. Polynomial invariants of finite reflection groups; 4.