1992, ISBN: 0521436133

[EAN: 9780521436137], Neubuch, [PU: Cambridge University Press, Cambridge], Paperback. In this graduate textbook Professor Humphreys presents a concrete and up-to-date introduction to the… More...

[EAN: 9780521436137], Neubuch, [PU: Cambridge University Press, Cambridge], 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 Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability., Books<

ISBN: 9780521436137

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, … More...

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. New Textbooks>Trade Paperback>Science>Mathematics>Mathematics, Cambridge University Press Core >1 >T<

1992, ISBN: 0521436133

[EAN: 9780521436137], Neubuch, [PU: Cambridge University Press], Druck auf Anfrage Neuware - Printed after ordering - This graduate textbook presents a concrete and up-to-date introductio… More...

[EAN: 9780521436137], Neubuch, [PU: Cambridge University Press], Druck auf Anfrage Neuware - Printed after ordering - 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., Books<

1992, ISBN: 9780521436137

Cambridge University Press, Taschenbuch, Auflage: Reprint, 216 Seiten, Publiziert: 1992-10-01T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: Refer to Sapnet. 0.77 kg, Englisch, Verkaufsr… More...

Cambridge University Press, Taschenbuch, Auflage: Reprint, 216 Seiten, Publiziert: 1992-10-01T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: Refer to Sapnet. 0.77 kg, Englisch, Verkaufsrang: 2038429, Algebra & Zahlentheorie, Naturwissenschaft & Mathematik, Fachbücher, Kategorien, Bücher, Naturwissenschaften & Technik, Englische Bücher, 7c9a6c79-19ea-4dea-90da-d7d47042d341_2301, 7c9a6c79-19ea-4dea-90da-d7d47042d341_0, Arborist Merchandising Root, Fremdsprachige Bücher, acc906d0-2585-4921-a56f-3ff277850936_4901, acc906d0-2585-4921-a56f-3ff277850936_0, Special Features Stores, Taschenbücher, acc906d0-2585-4921-a56f-3ff277850936_4201, Format: Illustriert, Cambridge University Press, 1992<