Article ID Journal Published Year Pages File Type
4587785 Journal of Algebra 2008 33 Pages PDF
Abstract

We construct projective resolutions for simple modules over the Borel subalgebras S+(2,r) and S+(3,r) of the Schur algebras S(2,r) and S(3,r) over a field of positive characteristic. In the case S+(2,r) we get a minimal projective resolution. We find also projective resolutions of minimal possible length for Weyl modules over the Schur algebra S(2,r), corresponding to the regular weights.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory