Abstract
In this paper, we study tensor products of injective modules and exactness of certain naturally appearing complexes of projective and injective modules over Schur superalgebras over an algebraically closed field K of characteristic p > 2. In particular, for the complex 0 → P(0) →u0 P(1) →u1 ⋯ →ur-2 P(r-1) →ur-1 P(r) → 0 of projective modules P(i) = Sξ1i(m+1)r-1 given by multiplication by ui = ξ1i(m+1) r-i, 1i+1(m+1)r-i-1, we determine all of the terms where it is exact.
Original language | English (US) |
---|---|
Pages (from-to) | 99-110 |
Number of pages | 12 |
Journal | Algebra Colloquium |
Volume | 13 |
Issue number | 1 |
DOIs | |
State | Published - Mar 2006 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Applied Mathematics