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arxiv: 1303.3487 · v2 · pith:WNWIAZ5Anew · submitted 2013-03-14 · 🧮 math.RT · math.QA

A geometric construction of generalized q-Schur algebras

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keywords algebrasgeneralizedq-schurconstructiongeometricassociatedcertainconstructed
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We show that the algebras constructed in [Li10] and [Li12] are generalized q-Schur algebras as defined in [D03]. This provides a geometric construction of generalized q-Schur algebras in types A, D and E. We give a parameterization of Nakajima's Lagrangian quiver variety of type D associated to a certain highest weight.

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