Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics)

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9780521436137: Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics)

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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Book Description :

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 courses.

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.

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1.

James E. Humphreys
Edité par CAMBRIDGE UNIVERSITY PRESS, United Kingdom (1993)
ISBN 10 : 0521436133 ISBN 13 : 9780521436137
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Description du livre CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 1993. Paperback. État : New. Reprint. Language: English . Brand New Book. This graduate textbook presents a concrete and up-to-date introduction to the theory of Coxeter groups. The book is self-contained, making it suitable either for courses and seminars or for self-study. The first part is devoted to establishing concrete examples. 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 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. Finally a number of interesting complementary topics as well as connections with Lie theory are sketched. The book concludes with an extensive bibliography on Coxeter groups and their applications. N° de réf. du libraire AAZ9780521436137

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Humphreys, James E.
Edité par Cambridge University Press 1992-10 (1992)
ISBN 10 : 0521436133 ISBN 13 : 9780521436137
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Description du livre Cambridge University Press 1992-10, 1992. État : New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. N° de réf. du libraire NU-LSI-06850900

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James E. Humphreys
Edité par CAMBRIDGE UNIVERSITY PRESS, United Kingdom (1993)
ISBN 10 : 0521436133 ISBN 13 : 9780521436137
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Description du livre CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 1993. Paperback. État : New. Reprint. Language: English . Brand New Book. This graduate textbook presents a concrete and up-to-date introduction to the theory of Coxeter groups. The book is self-contained, making it suitable either for courses and seminars or for self-study. The first part is devoted to establishing concrete examples. 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 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. Finally a number of interesting complementary topics as well as connections with Lie theory are sketched. The book concludes with an extensive bibliography on Coxeter groups and their applications. N° de réf. du libraire AAZ9780521436137

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James E. Humphreys
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Description du livre État : New. Bookseller Inventory # ST0521436133. N° de réf. du libraire ST0521436133

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Humphreys, James E.
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ISBN 10 : 0521436133 ISBN 13 : 9780521436137
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Description du livre Cambridge University Press, 1992. PAP. État : New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du libraire IQ-9780521436137

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Humphreys, James E.
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Description du livre Cambridge University Press, 1992. État : New. 1992. Reprint. Paperback. A self-contained graduate textbook introducing the basic theory of Coxeter groups. Series Editor(s): Bollobas, B.; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 220 pages, many line drawings. BIC Classification: PBG. Category: (P) Professional & Vocational. Dimension: 228 x 154 x 13. Weight in Grams: 340. Series: Cambridge Studies in Advanced Mathematics. 220 pages, many line drawings. A self-contained graduate textbook introducing the basic theory of Coxeter groups. Cateogry: (P) Professional & Vocational. BIC Classification: PBG. Dimension: 228 x 154 x 13. Weight: 352. Series Editor(s) :Bollobas, B.; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B. . . . . . . N° de réf. du libraire V9780521436137

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James E. Humphreys
Edité par Cambridge University Press 1992-10-01, Cambridge (1992)
ISBN 10 : 0521436133 ISBN 13 : 9780521436137
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Description du livre Cambridge University Press 1992-10-01, Cambridge, 1992. paperback. État : New. N° de réf. du libraire 9780521436137

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Humphreys, James E.
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Description du livre Cambridge University Press, 1992. PAP. État : New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de réf. du libraire GB-9780521436137

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Humphreys, James E.
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Description du livre Cambridge University Press. État : New. 1992. Reprint. Paperback. A self-contained graduate textbook introducing the basic theory of Coxeter groups. Series Editor(s): Bollobas, B.; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 220 pages, many line drawings. BIC Classification: PBG. Category: (P) Professional & Vocational. Dimension: 228 x 154 x 13. Weight in Grams: 340. Series: Cambridge Studies in Advanced Mathematics. 220 pages, many line drawings. A self-contained graduate textbook introducing the basic theory of Coxeter groups. Cateogry: (P) Professional & Vocational. BIC Classification: PBG. Dimension: 228 x 154 x 13. Weight: 352. Series Editor(s) :Bollobas, B.; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B. . . . . . Books ship from the US and Ireland. N° de réf. du libraire V9780521436137

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James E. Humphreys
Edité par Cambridge Univ Pr (1992)
ISBN 10 : 0521436133 ISBN 13 : 9780521436137
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Description du livre Cambridge Univ Pr, 1992. Paperback. État : Brand New. reprint edition. 216 pages. 9.25x6.00x0.50 inches. In Stock. N° de réf. du libraire __0521436133

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