6 citations · 7 across the 10 of their papers we have counts for
10 papers
Specht Modules With Trivial Direct Summands
David J. Hemmer
We prove that, in characteristic , a Specht module indexed by a nonhook partition cannot have a trivial direct summand. The proof uses the KLR grading and a recent graded homomo…
The Lie module and its complexity
Frederick R. Cohen, David J. Hemmer, Daniel K. Nakano
The complexity of a module is an important homological invariant that measures the polynomial rate of growth of its minimal projective resolution. For the symmetric group , th…
"Frobenius twists" in the representation theory of the symmetric group
David J. Hemmer
For the general linear group over an algebraically closed field of characteristic , there are two types of "twisting" operations that arise naturally on partitions…
A combinatorial approach to Specht module cohomology
David J. Hemmer
For a Specht module S^λfor the symmetric group Σ_d, the cohomology H^i(Σ_d, S^λ) is known only in degree i=0. We give a combinatorial criterion equivalent to the nonvanishing of th…
The complexity of certain Specht modules for the symmetric group
David J. Hemmer
During the 2004-2005 academic year the VIGRE algebra research group at the University of Georgia computed the complexities of certain Specht modules S^λfor the symmetric group, usi…
Cohomology and generic cohomology of Specht modules for the symmetric group
David J. Hemmer
Cohomology of Specht modules for the symmetric group can be equated in low degrees with corresponding cohomology for the Borel subgroup B of the general linear group GL_d(k), but t…