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arXiv · 1107.0146

Koszul duality of affine Kac-Moody algebras and cyclotomic rational DAHA

Peng Shan·Michela Varagnolo·Eric Vasserot
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Abstract

We give a proof of the parabolic/singular Koszul duality for the category O of affine Kac-Moody algebras. The main new tool is a relation between moment graphs and finite codimensional affine Schubert varieties. We apply this duality to q-Schur algebras and to cyclotomic rational double affine Hecke algebras.

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Peng Shan, Michela Varagnolo, Eric Vasserot. 2011-07-01. Koszul duality of affine Kac-Moody algebras and cyclotomic rational DAHA. https://arxiv.org/abs/1107.0146

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