Schur superalgebras in characteristic p, II

Frantisek Marko, Alexandr N. Zubkov

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

It is proved that if a Schur superalgebra is not semisimple, then it is neither cellular nor quasi-hereditary (Theorem 2), and it has infinite global dimension (Corollary 18). The algebra S(m|n, r) with m, n ≥ 1 is semisimple if and only lip, the characteristic of the ground field, is zero or greater than r, or when m = n = 1 and p does not divide r.

Original languageEnglish (US)
Pages (from-to)99-112
Number of pages14
JournalBulletin of the London Mathematical Society
Volume38
Issue number1
DOIs
StatePublished - Feb 2006

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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