In this paper, we shall describe costandard modules ∇ (γ ) of restricted highest weight ∇ for Schur superalgebra S(2|2) over an algebraically closed field K of positive characteristic p > 2. Additionally, for a restricted highest weight γ , we determine all composition factors of the costandard module ∇ (γ ); in particular we compute the decomposition numbers in the process of the modular reduction of a simple module with a restricted highest weight.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Applied Mathematics