Algebraic Combinatorics and Coinvariant Spaces (Hardcover, New)

Written for graduate students in mathematics or non-specialist mathematicians who wish to learn the basics about some of the most important current research in the field, this book provides an intensive, yet accessible, introduction to the subject of algebraic combinatorics. After recalling basic notions of combinatorics, representation theory, and some commutative algebra, the main material provides links between the study of coinvariant or diagonally coinvariant spaces and the study of Macdonald polynomials and related operators. This gives rise to a large number of combinatorial questions relating to objects counted by familiar numbers such as the factorials, Catalan numbers, and the number of Cayley trees or parking functions. The author offers ideas for extending the theory to other families of finite Coxeter groups, besides permutation groups.

General

Imprint:	A K Peters Ltd
Country of origin:	United States
Release date:	July 2009
First published:	2009
Authors:	Francois Bergeron
Dimensions:	229 x 152 x 15mm (L x W x T)
Format:	Hardcover
Pages:	230
Edition:	New
ISBN-13:	978-1-56881-324-0
Categories:	Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
LSN:	1-56881-324-4
Barcode:	9781568813240

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