Click Here to Download: https://ouo.io/UcEGUe Algebraic Combinatorics and Coinvariant Spaces By: Francois Bergeron Publisher: A K Peters/CRC Press Print ISBN: 9781568813240, 1568813244 eText ISBN: 9781439865071, 1439865078 Edition: 1st Copyright year: 2009 Format: PDF Available from $ 23.18 USD SKU 9781439865071R90 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 coinvariantâor diagonally coinvariantâspaces 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.
