On the smoothness of centres of rational Cherednik algebras in positive characteristic

Gwyn Bellamy; Maurizio Martino

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arXiv · 1112.3835

On the smoothness of centres of rational Cherednik algebras in positive characteristic

Gwyn Bellamy·Maurizio Martino

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Abstract

In this article we study rational Cherednik algebras at $t = 1$ in positive characteristic. We study a finite dimensional quotient of the rational Cherednik algebra called the restricted rational Cherednik algebra. When the corresponding pseudo-reflection group belongs to the infinite series $G(m,d,n)$, we describe explicitly the block decomposition of the restricted algebra. We also classify all pseudo-reflection groups for which the centre of the corresponding rational Cherednik algebra is regular for generic values of the deformation parameter.

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Gwyn Bellamy, Maurizio Martino. 2011-12-16. On the smoothness of centres of rational Cherednik algebras in positive characteristic. https://arxiv.org/abs/1112.3835

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