{"product_id":"reflection-groups-and-coxeter-group-james-e-humphreys-9780521436137","title":"Reflection Groups and Coxeter Group","description":"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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e James E. Humphreys\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0521436133\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780521436137\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/01\/1992\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 220\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.77lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.02h x 6.16w x 0.60d","brand":"James E. Humphreys","offers":[{"title":"Paperback","offer_id":43920017096959,"sku":"9780521436137","price":62.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_5679b892-7743-4bd0-a893-1f3ccd94a079.jpg?v=1680813133","url":"https:\/\/www.whiterainbookhouse.com\/products\/reflection-groups-and-coxeter-group-james-e-humphreys-9780521436137","provider":"WR Book House","version":"1.0","type":"link"}