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math.RT2009
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…
math.RT2008
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…
math.RT2004
Representation type of Schur superalgebras
David J. Hemmer, Jonathan Kujawa, Daniel K. Nakano
Let be the Schur superalgebra whose supermodules correspond to the polynomial representations of the supergroup of degree . In this paper we determine the r…