Article ID Journal Published Year Pages File Type
4588426 Journal of Algebra 2008 13 Pages PDF
Abstract

We consider Garsia–Haiman modules for the symmetric group, a doubly graded generalization of Springer modules. Our main interest lies in singly graded submodules of a Garsia–Haiman module. We show that these submodules satisfy a certain combinatorial property, and verify that this property is implied by a behavior of Macdonald polynomials at roots of unity.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory