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.
UR - http://www.scopus.com/inward/record.url?scp=31744448607&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=31744448607&partnerID=8YFLogxK
U2 - 10.1112/S0024609305018187
DO - 10.1112/S0024609305018187
M3 - Article
AN - SCOPUS:31744448607
SN - 0024-6093
VL - 38
SP - 99
EP - 112
JO - Bulletin of the London Mathematical Society
JF - Bulletin of the London Mathematical Society
IS - 1
ER -