Reflection Groups and Coxeter Groups (Cambridge Studies in Advanced Mathematics, Series Number 29) - Hardcover

Humphreys, James E.

Hardcover

ISBN 10: 052137510X ISBN 13: 9780521375108

Verlag: Cambridge University Press, 1990

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

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.

Details zur Ausgabe

• Verlag: Cambridge University Press
• Erscheinungsdatum: 1990
• ISBN 10: 052137510X
• ISBN 13: 9780521375108
• Einband: Tapa dura
• Sprache: Englisch
• Anzahl der Seiten: 213
• Kontakt zum Hersteller: Nicht verfügbar