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Algebraic Combinatorics and Coinvariant Spaces
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Product Details
Author:
Francois Bergeron
Format:
Paperback
Pages:
230
Publisher:
CRC Press (October 23, 2019)
Language:
English
ISBN-13:
9780367385460
Weight:
16oz
Dimensions:
6" x 9"
File:
TAYLORFRANCIS-TayFran_260115060359554-20260115.xml
Folder:
TAYLORFRANCIS
List Price:
$89.99
Country of Origin:
United States
As low as:
$85.49
Publisher Identifier:
P-CRC
Discount Code:
H
Pub Discount:
30
Imprint:
A K Peters/CRC Press
Case Pack:
1
Overview
After recalling the basic notions of combinatorics, representation theory, and commutative algebra, the main material in this book provides links between the study of coinvariant/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 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.
