摘要
Let S(m|n, r)(Z) be a Z-form of a Schur superalgebra S(m|n, r) generated by elements xi(i,j). We solve a problem of Muir and describe a Z-form of a simple S(m|n, r)-module D-lambda,D-Q over the field Q of rational numbers, under the action of S(m|n, r)(Z). This Z-form is the Z-span of modified bideterminants [T-l : T-i] defined in this work. We also prove that each [T-l : T-i] is a Z-linear combination of modified bideterminants corresponding to (m|n)-semistandard tableaux T-i.
- 出版日期2011-9