Algebraic Combinatorics and Coinvariant Spaces
Book Details
Format
Hardback or Cased Book
ISBN-10
1568813244
ISBN-13
9781568813240
Publisher
Taylor & Francis Inc
Imprint
A K Peters
Country of Manufacture
US
Country of Publication
GB
Publication Date
Jul 6th, 2009
Print length
230 Pages
Weight
496 grams
Dimensions
23.50 x 15.60 x 1.50 cms
Product Classification:
Combinatorics & graph theory
Ksh 21,600.00
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Suitable for graduate students in mathematics or non-specialist mathematicians who wish to learn the basics about some of the most important research in the field, this book provides an introduction to the subject of algebraic combinatorics.
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.
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