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Reflection Groups and Coxeter Groups: 29 (Cambridge Studies in Advanced Mathematics, Series Number 29) - Softcover
Synopsis
A self-contained graduate textbook introducing the basic theory of Coxeter groups.
"synopsis" may belong to another edition of this title.
About the Author
James E. Humphreys was born in Erie, Pennsylvania, and received his A.B. from Oberlin College, 1961, and his Ph.D. from Yale University, 1966. He has taught at the University of Oregon, Courant Institute (NYU), and the University of Massachusetts at Amherst (now retired). He visits IAS Princeton, Rutgers. He is the author of several graduate texts and monographs.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date1992
- ISBN 10 0521436133
- ISBN 13 9780521436137
- BindingPaperback
- LanguageEnglish
- Number of pages216
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Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics, 29, Band 29)
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Reflection Groups and Coxeter Groups
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Reflection Groups and Coxeter Groups
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Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics)
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Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics, Series Number 29)
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Reflection Groups and Coxeter Groups
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Reflection Groups and Coxeter Group (Paperback)
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Paperback. Condition: new. Paperback. 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. 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521436137
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Reflection Groups and Coxeter Groups
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ISBN 10: 0521436133
ISBN 13: 9780521436137
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Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics, Series Number 29)
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ISBN 10: 0521436133
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Reflection Groups and Coxeter Groups
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ISBN 13: 9780521436137
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