ENGLISH

Algebraic Combinatorics and Coinvariant Spaces

By François Bergeron

Book information

Publisher
AK Peters
Year
2009
ISBN
1568813244, 9781568813240
LCC
QA164 .B473 2009
Language
english
Format
PDF
Filesize
7 MB (7252906 bytes)
Series
CMS Treatises in Mathematics/ Traites de Mathematiques de la SMC
Pages
226\226
Library
Kolxo3
Scanned
yes
Time added
2011-07-22 07:35:22

Description

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.

Similar books