2003/05/14 by Stephen Doty, Doty, Stephen · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.QA #msc:16W35 #msc:17B37 #msc:81R50
paper · pdf · doi:10.48550/arxiv.math/0305208
To appear in Representation Theory
arxiv created 2003/05/14 · arxiv updated 2009/11/30
We obtain a presentation by generators and relations for generalized Schur algebras and their quantizations. This extends earlier results obtained in the type A case. The presentation is compatible with Lusztig's modified form of a quantized enveloping algebra. We show that generalized Schur algebras inherit a canonical basis from the modified form of the quantized enveloping algebra, that this gives them a cellular structure, and thus they are quasihereditary over a field.