Hecke Algebra Actions on the Coinvariant Algebra
表示论
2007-05-23 v2 组合数学
摘要
Two actions of the Hecke algebra of type A on the corresponding polynomial ring are studied. Both are deformations of the natural action of the symmetric group on polynomials, and keep symmetric functions invariant. We give an explicit description of these actions, and deduce a combinatorial formula for the resulting graded characters on the coinvariant algebra.
引用
@article{arxiv.math/9908090,
title = {Hecke Algebra Actions on the Coinvariant Algebra},
author = {Ron M. Adin and Alexander Postnikov and Yuval Roichman},
journal= {arXiv preprint arXiv:math/9908090},
year = {2007}
}
备注
21 pages; final form, to appear in the Journal of Algebra