English

Representations of the rational Cherednik algebras of dihedral type

Representation Theory 2007-05-23 v2 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.math/0405383,
  title  = {Representations of the rational Cherednik algebras of dihedral type},
  author = {Tatyana Chmutova},
  journal= {arXiv preprint arXiv:math/0405383},
  year   = {2007}
}

Comments

minor corrections made, reference for monodromy representations added