Presenting generalized q-Schur algebras

Details Presenting generalized q-Schur algebras Presenting generalized q-Schur algebras

2003-05-14

arxiv.org/abs/math/0305208v1

Mathematics

Quantum Algebra

To appear in Representation Theory

Scientific paper

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.

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