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arXiv · 1509.00526

Supports of simple modules in cyclotomic Cherednik categories O

Ivan Losev
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Abstract

The goal of this paper is to compute the supports of simple modules in the categories $\mathcal{O}$ for the rational Cherednik algebras associated to groups $G(\ell,1,n)$. For this we compute some combinatorial maps on the set of simples: wall-crossing bijections and a certain $\mathfrak{sl}_\infty$-crystal associated to a Heisenberg algebra action on a Fock space.

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Ivan Losev. 2020-11-15. Supports of simple modules in cyclotomic Cherednik categories O. https://arxiv.org/abs/1509.00526

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