Reflection Groups and Coxeter Groups

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9780521436137: Reflection Groups and Coxeter Groups

Book by Humphreys James E

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Présentation de l'éditeur :

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.

Revue de presse :

"This is a book which can be recommended to both beginners and more experienced workers with an interest in Coxeter groups. In common with all of Humphrey's books, it is written in a clear and helpful expository style, and so gives an excellent introduction to the subject. At the same time the material dealing with recent developments such as Kazhdan-Lusztig theory will be most useful to specialists in the area." Bulletin of the London Mathematical Society

"...a useful book. The style is informal and the arguments are clear." Louis Solomon, Mathematical Reviews

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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. 226 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****. 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 AAV9780521436137

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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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The Book Depository
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Description du livre CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 1993. Paperback. État : New. Reprint. 226 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****.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 AAV9780521436137

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James E. Humphreys
ISBN 10 : 0521436133 ISBN 13 : 9780521436137
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Description du livre État : New. Depending on your location, this item may ship from the US or UK. N° de réf. du libraire 97805214361370000000

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James E. Humphreys, B. Bollobas, W. Fulton, A. Katok, F. Kirwan
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ISBN 10 : 0521436133 ISBN 13 : 9780521436137
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Description du livre Cambridge University Press. Paperback. État : new. BRAND NEW PRINT ON DEMAND., Reflection Groups and Coxeter Groups, James E. Humphreys, B. Bollobas, W. Fulton, A. Katok, F. Kirwan, 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 B9780521436137

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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. PAP. État : New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du libraire LQ-9780521436137

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Humphreys, James E.
Edité par Cambridge University Press (2016)
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Description du livre Cambridge University Press, 2016. Paperback. État : New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. N° de réf. du libraire ria9780521436137_lsuk

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JAMES E. HUMPHREYS
ISBN 10 : 0521436133 ISBN 13 : 9780521436137
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Description du livre 1992. Paperback. État : NEW. 9780521436137 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. N° de réf. du libraire HTANDREE0457371

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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, 2017. Paperback. État : New. This item is printed on demand. N° de réf. du libraire 0521436133

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