q-Schur algebras and quantum Frobenius
classification
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algebrascorrespondingfrobeniusquantumschuraffinealgebraanalogs
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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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