We consider Garsia-Haiman modules for the symmetric groups, 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
We study graded modules of finite length over the weighted polynomial ring R=k[x_{1},...,x_{n}], k a...
AbstractThe focus of this paper is on algebraic vector bundles over Pn and their applications to the...
For primes $\ell$ and nonnegative integers $a$, we study the partition functions $$p_\ell(a;n):= \#\...
AbstractWe consider Garsia–Haiman modules for the symmetric group, a doubly graded generalization of...
We consider Garsia-Haiman modules for the symmetric groups, a doubly graded generalization of Spring...
AbstractWe consider Garsia–Haiman modules for the symmetric group, a doubly graded generalization of...
AbstractThis paper deals with graded representations of the symmetric group on the cohomology ring o...
A well-known representation-theoretic model for the transformed Macdonald polynomial $\widetilde{H}_...
We consider Green polynomials at roots of unity. We obtain a recursive formula for Green polynomial...
We study bigraded Sn-modules introduced by Garsia and Haiman as an approach to prove the Macdonald p...
We study bigraded Sn-modules introduced by Garsia and Haiman as an approach to prove the Macdonald p...
AbstractThis paper deals with graded representations of the symmetric group on the cohomology ring o...
We study graded modules of finite length over the weighted polynomial ring R=k[x_{1},...,x_{n}], k a...
AbstractJames and Mathas conjecture a criterion for the Specht module Sλ for the symmetric group to ...
The Hilbert series of the Garsia–Haiman module Mμ can be described combinatorially as the generatin...
We study graded modules of finite length over the weighted polynomial ring R=k[x_{1},...,x_{n}], k a...
AbstractThe focus of this paper is on algebraic vector bundles over Pn and their applications to the...
For primes $\ell$ and nonnegative integers $a$, we study the partition functions $$p_\ell(a;n):= \#\...
AbstractWe consider Garsia–Haiman modules for the symmetric group, a doubly graded generalization of...
We consider Garsia-Haiman modules for the symmetric groups, a doubly graded generalization of Spring...
AbstractWe consider Garsia–Haiman modules for the symmetric group, a doubly graded generalization of...
AbstractThis paper deals with graded representations of the symmetric group on the cohomology ring o...
A well-known representation-theoretic model for the transformed Macdonald polynomial $\widetilde{H}_...
We consider Green polynomials at roots of unity. We obtain a recursive formula for Green polynomial...
We study bigraded Sn-modules introduced by Garsia and Haiman as an approach to prove the Macdonald p...
We study bigraded Sn-modules introduced by Garsia and Haiman as an approach to prove the Macdonald p...
AbstractThis paper deals with graded representations of the symmetric group on the cohomology ring o...
We study graded modules of finite length over the weighted polynomial ring R=k[x_{1},...,x_{n}], k a...
AbstractJames and Mathas conjecture a criterion for the Specht module Sλ for the symmetric group to ...
The Hilbert series of the Garsia–Haiman module Mμ can be described combinatorially as the generatin...
We study graded modules of finite length over the weighted polynomial ring R=k[x_{1},...,x_{n}], k a...
AbstractThe focus of this paper is on algebraic vector bundles over Pn and their applications to the...
For primes $\ell$ and nonnegative integers $a$, we study the partition functions $$p_\ell(a;n):= \#\...