Decomposition of the Diagonal Action of S_n on the Coinvariant Space of S_n x S_n
arXiv:math/0406546
Abstract
The purpose of this paper is to give an explicit description of the irreducible decomposition of the multigraded S_n-module of coinvariants of S_n x S_n. Many of the results presented can be extended to analogous questions for other finite reflection group.
23 pages, 7 figures