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q-Schur algebras and quantum Frobenius

Kevin McGerty
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Abstract

The quantum Frobenius map and it splitting are shown to descend to corresponding maps for generalized $q$-Schur algebras at a root of unity. We also define analogs of $q$-Schur algebras for any affine algebra, and prove the corresponding results for them.

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Kevin McGerty. 2006-10-26. q-Schur algebras and quantum Frobenius. https://arxiv.org/abs/math/0511697

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