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 language | English |
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Pages (from-to) | 99-112 |
Number of pages | 14 |
Journal | Bulletin of the London Mathematical Society |
Volume | 38 |
Issue number | 1 |
DOIs | |
Publication status | Published - Feb 2006 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics