Schur superalgebras in characteristic p

František Marko, Alexandr N. Zubkov

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8 Scopus citations

Abstract

The structure of a Schur superalgebra S = 5(1 | 1, r) in odd characteristic p is completely determined. The algebra S is semisimple if and only if p does not divide r. If p divides r, then simple S-modules are one-dimensional and the quiver and relations of S can be immediately seen from its regular representation computed in this paper. Surprisingly, if p divides r, then S is neither quasi-hereditary nor cellular nor stratified, as one would expect by analogy with classical Schur algebras or Schur superalgebras in characteristc zero.

Original languageEnglish (US)
Pages (from-to)1-12
Number of pages12
JournalAlgebras and Representation Theory
Volume9
Issue number1
DOIs
StatePublished - Feb 2006

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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