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arxiv: 0801.0005 · v3 · submitted 2007-12-28 · 🧮 math.QA · math.RA

On the defining relations for generalized q-Schur algebras

classification 🧮 math.QA math.RA
keywords definingalgebrageneralizedq-schurrelationsaffinealgebrasbijectively
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We show that the defining relations needed to describe a generalized q-Schur algebra as a quotient of a quantized enveloping algebra are determined completely by the defining ideal of a certain finite affine variety, the points of which correspond bijectively to the set of weights. This explains, unifies, and extends previous results.

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