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Reflection Groups and Coxeter Groups

Reflection Groups and Coxeter Groups

Reflection Groups and Coxeter Groups
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Reflection Groups and Coxeter Groups Hardback - 1990

by James E Humphreys

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  • Used
  • Hardback
Used - Good Condition

Description

Cambridge University Press, 1990. Hardcover. Good Condition. 23.6 x 15.6 x 1.6 cm. Gently used copy with only minor signs of wear. Clean and fresh internally. Spine intact, bindings solid and secure. Publisher's note: A self-contained graduate textbook introducing the basic theory of Coxeter groups.. Size: 23.6 x 15.6 x 1.6 cm. xii, 204 pp. Shipped Weight: Under 500 grams. Category: Mathematics ; Homology theory; Lie groups; Topological groups; Lie groups; Topological groups; ISBN: 052137510X. ISBN/EAN: 9780521375108. Add. Inventory No: 250321CTY0714751. . 9780521375108
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Details

  • Title Reflection Groups and Coxeter Groups
  • Author James E Humphreys
  • Binding Hardback
  • Edition First Edition
  • Condition Used - Good Condition
  • Pages 213
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, Cambridge
  • Publication date 1990
  • Bookseller's Inventory # 250321CTY0714751
  • ISBN 9780521375108 / 052137510X
  • Weight 0.96 lbs (0.44 kg)
  • Dimensions 9.29 x 6.14 x 0.63 in (23.60 x 15.60 x 1.60 cm)
  • Size 23.6 x 15.6 x 1.6 cm
  • Category Mathematics
  • Library of Congress subjects Coxeter groups, Reflection groups
  • Library of Congress Catalogue Number 90001432
  • Dewey Decimal Code 512.2
  • Quantity available 1

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Reader reviews for Reflection Groups and Coxeter Groups

From the publisher

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.
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