Representations of rational Cherednik algebras of rank 1 in positive characteristic

Frédéric Latour

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arXiv · math/0307390

Representations of rational Cherednik algebras of rank 1 in positive characteristic

Frédéric Latour

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Abstract

In this paper, we classify the irreducible representations of the rational Cherednik algebras of rank 1 in characteristic p > 0. There are two cases. One is the "quantum" case, where "Planck's constant" is nonzero and generic irreducible representations have dimension pr, where r is the order of the cyclic group contained in the algebra. The other is the "classical" case, where "Planck's constant" is zero and generic irreducible representations have dimension r.

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BibTeX RIS

Frédéric Latour. 2003-07-31. Representations of rational Cherednik algebras of rank 1 in positive characteristic. https://arxiv.org/abs/math/0307390

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