Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584976 | Journal of Algebra | 2014 | 30 Pages |
Abstract
In a recent paper, Dipper and Doty, [4], introduced certain finite dimensional algebras, associated with the natural module of the general linear group and its dual, which they call rational Schur algebras. We give a proof, via tilting modules, that these algebras are in fact generalised Schur algebras. Using the same technique we show that certain finite dimensional algebras associated with classical groups, introduced by Doty, [20], are quasi-hereditary algebras. A generalised Schur algebras may be viewed as a quotient of the algebra of distributions of a reductive group by a certain ideal. We give generators for this ideal.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Stephen Donkin,