The purpose of the paper is to derive formulas that describe the structure of the induced supermodule HG0(λ) for the general linear supergroup G=GL(m|n) over an algebraically closed field K of characteristic p≠2. Using these formulas we determine primitive Gev=GL(m)×GL(n)-vectors in HG0(λ). We conclude with remarks related to the linkage principle in positive characteristic.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory