TY - JOUR

T1 - Schur superalgebras in characteristic p, II

AU - Marko, Frantisek

AU - Zubkov, Alexandr N.

PY - 2006/2

Y1 - 2006/2

N2 - 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.

AB - 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.

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U2 - 10.1112/S0024609305018187

DO - 10.1112/S0024609305018187

M3 - Article

AN - SCOPUS:31744448607

VL - 38

SP - 99

EP - 112

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 1

ER -