Representations of the rational Cherednik algebras of dihedral type

Tatyana Chmutova

doi:10.1016/j.jalgebra.2005.12.024

Representations of the rational Cherednik algebras of dihedral type

Tatyana Chmutova

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

In this paper we describe the Jordan-Hölder 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.

Original language	English (US)
Pages (from-to)	542-565
Number of pages	24
Journal	Journal of Algebra
Volume	297
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2005.12.024
State	Published - Mar 15 2006
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2005.12.024

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abstract = "In this paper we describe the Jordan-H{\"o}lder 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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DO - 10.1016/j.jalgebra.2005.12.024

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JO - Journal of Algebra

JF - Journal of Algebra

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Representations of the rational Cherednik algebras of dihedral type

Abstract

All Science Journal Classification (ASJC) codes

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