| Abstract: |
| The rational Schur algebra S(n,r,s) over an arbitrary ground field K is represented as a quotient of the distribution algebra Dist(G) of the general linear group G=GL(n) by an ideal I(n,r,s). We provide an explicit description of the generators of I(n,r,s).
Over fields K of characteristic zero, we complete a presentation of S(n,r,s) in terms of generators and relations originally considered by Dipper and Doty, and then followed up by Donkin. The explicit presentation over ground fields of positive characteristics is new. |
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