The Combinatorics of the Garsia-Haiman Modules for Hook Shapes
arXiv:math/0703308
Abstract
Several bases of the Garsia-Haiman modules for hook shapes are given, as well as combinatorial decomposition rules for these modules. These bases and rules extend the classical ones for the coinvariant algebra of type . We also give a decomposition of the Garsia-Haiman modules into descent representations.
34 pages; 7 figures