Representations of the rational Cherednik algebras of dihedral type

2004/05/20 by Tatyana Chmutova, Chmutova, Tatyana · 1 citation
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.math/0405383

minor corrections made, reference for monodromy representations added

arxiv created 2004/06/01 · arxiv updated 2009/12/01

Abstract

In this paper we describe the Jordan-Holder series of the standard modules over the rational Cherednik algebras associated with the dihedral group. In particular, we compute the characters of the irreducible representations from the category O and classify the finite dimensional representations.

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• The double dihedral Dunkl total angular momentum algebra

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