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arXiv · 1312.7524

Endomorphisms of Verma modules for rational Cherednik algebras

Gwyn Bellamy
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Abstract

We study the endomorphism algebra of Verma modules for rational Cherednik algebras at t=0. It is shown that, in many cases, these endomorphism algebras are quotients of the centre of the rational Cherednik algebra. Geometrically, they define Lagrangian subvariaties of the generalized Calogero-Moser space. In the introduction, we motivate our results by describing them in the context of derived intersections of Lagrangians.

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Gwyn Bellamy. 2013-12-29. Endomorphisms of Verma modules for rational Cherednik algebras. https://arxiv.org/abs/1312.7524

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