On the defining relations for generalized q-Schur algebras

Details On the defining relations for generalized q-Schur algebras On the defining relations for generalized q-Schur algebras

2007-12-28

arxiv.org/abs/0801.0005v3

Mathematics

Quantum Algebra

33 pages; to appear in "Advances in Math"

Scientific paper

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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