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arXiv · 1207.1299

Towards multiplicities for categories O of cyclotomic rational Cherednik algebras

Ivan Losev
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Abstract

Varagnolo and Vasserot conjectured an equivalence between the category O for a cyclotomic Rational Cherednik algebra and a truncation of an affine parabolic category O of type A. In this paper we reduce their conjecture to some purely combinatorial conjecture. Our principal tool for the reduction is the theory of categorical sl_2-actions on highest weight categories. Then we prove our combinatorial conjecture in some cases.

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Ivan Losev. 2013-05-22. Towards multiplicities for categories O of cyclotomic rational Cherednik algebras. https://arxiv.org/abs/1207.1299

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