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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Sean Elvidge rated it it was amazing Jan 18, In the next chapter these groups are classified by Coxeter diagrams, and actual realizations of these groups are discussed. Classification of finite reflection groups; 3. The style is informal and the arguments are clear.

To see what your friends thought of this book, please sign up. There are no discussion topics on this book yet. The second part which is logically independent of, but motivated by, the first starts by developing the properties of the Coxeter groups. He is the author of several graduate texts and monographs.

Hecke algebras rfflection Kazhdan-Lusztig polynomials; 8. Contents Finite reflection groups. Paperbackpages. Topaz added it Aug 12, In this graduate textbook Professor Humphreys presents a concrete and up-to-date introduction to the theory of Coxeter groups.

Gizem added it Jun 20, There are a bunch of things I have been vaguely hearing about for a long time and I grops 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: At the same time the material dealing with recent developments such as Kazhdan-Lusztig theory will be most useful to specialists in the area.


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. Finite reflection groups; 2. Home Contact Us Help Free delivery worldwide. Other books in this series. My library Help Advanced Book Search.

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. Aug 25, Mikhail Ignatev rated it really liked it Shelves: Koltai Laszlo is currently reading it Nov 04, Page – Gyoja, A.

Chapter 8, which geflection like an “introduction to the broader literature” chapter, with a bunch of miscellaneous cool topics and no proofs, was nice, but I think I hupmhreys have been more excited reading a chapter like this that was written much more recently.

Every so often I would take out a notebook, but mostly I was just reading and thinking, so I could read it on train rides, before bed, etc. This book is not yet featured on Listopia.

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

Visit our Beautiful Books page and find lovely books for kids, photography lovers and more. Want to Read Currently Reading Read. Trivia About Reflection Groups Kayed Al-qasimi added it Jul 28, He is the author of groupz graduate texts and monographs. 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 qnd you check you know what is going on — this went pretty quickly and didn’t force me to devote more time to it than I had.


Fausto Baiocco marked it as to-read Jun 25, Like I said, I particularly enjoyed coxetet To ask other readers questions about Reflection Groups and Coxeter Groupplease sign up.

Reflection Groups and Coxeter Group by James E. Humphreys

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 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. Volume 1 Claire Voisin. Matthew rated it really liked it Jan 01, He assumes that the reader has a good knowledge of algebra, but otherwise the book is self contained. The math is just so gorgeous! Description This graduate textbook presents a concrete and up-to-date introduction to the theory of Coxeter groups.

Reflection Groups and Coxeter Group

Return to Book Page. Page – An approach to the connectedness of the left cells in affine Weyl groups, Bull.

Book ratings by Goodreads. Meanwhile there are a bunch of other totally beautiful things that I didn’t know at all: