ABSTRACT

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

chapter |4 pages

Introduction

chapter 1|26 pages

Combinatorial Objects

chapter 2|14 pages

Some Tableau Combinatorics

chapter 3|24 pages

Invariant Theory

chapter 4|26 pages

1A Combinatorial Approach

chapter 5|14 pages

Representation Theory

chapter 6|16 pages

Species Theory

chapter 7|6 pages

Commutative Algebra

chapter 8|16 pages

Coinvariant Spaces

chapter 9|14 pages

Macdonald Functions

chapter 10|22 pages

Diagonal Coinvariant Spaces

chapter 11|14 pages

Coinvariant-Like Spaces