Presenting generalized q-Schur algebras
Presenting generalized q-Schur algebras
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DOI：
10.1090/s1088-4165-03-00176-6
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发表时间：
2003-05
期刊：
影响因子：
--
通讯作者：
S. Doty
中科院分区：
文献类型：
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作者：
S. Doty
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.
