Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588426 | Journal of Algebra | 2008 | 13 Pages |
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