W-exponentials, Schur elements, and the support of the spherical representation of the rational Cherednik algebra

Given a complex reflection group W we compute the support of the spherical irreducible module of the rational Cherednik algebra of W in terms of the simultaneous eigenfunction of the Dunkl operators and Schur elements for finite Hecke algebras.

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Bibliographic Details
Main Authors Griffeth, Stephen, Juteau, Daniel
Format Journal Article
LanguageEnglish
Published 25.07.2017
Subjects
Mathematics - Representation Theory
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Summary:Given a complex reflection group W we compute the support of the spherical irreducible module of the rational Cherednik algebra of W in terms of the simultaneous eigenfunction of the Dunkl operators and Schur elements for finite Hecke algebras.
DOI:10.48550/arxiv.1707.08196