English

Representation type of Schur superalgebras

Representation Theory 2007-05-23 v1

Abstract

Let S(mn,d)S(m|n,d) be the Schur superalgebra whose supermodules correspond to the polynomial representations of the supergroup GL(mn)GL(m|n) of degree dd. In this paper we determine the representation type of these algebras (i.e. classify the ones which are semisimple, have finite, tame and wild representation type). Moreover, we prove that these algebras are in general not quasi-hereditary and have infinite global dimension.

Keywords

Cite

@article{arxiv.math/0411390,
  title  = {Representation type of Schur superalgebras},
  author = {David J. Hemmer and Jonathan Kujawa and Daniel K. Nakano},
  journal= {arXiv preprint arXiv:math/0411390},
  year   = {2007}
}

Comments

21 pages

R2 v1 2026-07-22T17:12:28.984Z