q-Schur algebras and quantum Frobenius

Mathematics – Quantum Algebra

Scientific paper

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Final version, to appear in Adv. Math

Scientific paper

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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