Representations of rational Cherednik algebras of rank one in positive characteristic |
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Authors: | Frédéric Latour |
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Institution: | Department of Mathematics, Syracuse University, Syracuse, NY 13244, USA |
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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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Keywords: | 16G30 |
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