Unitary representations of the Cherednik algebra: V -homology

Susanna Fishel, Stephen Griffeth, Elizabeth Manosalva

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We give a non-negative combinatorial formula, in terms of Littlewood-Richardson numbers, for the V-homology of the unitary representations of the cyclotomic rational Cherednik algebra, and as a consequence, for the graded Betti numbers for the ideals of a class of subspace arrangements arising from the reflection arrangements of complex reflection groups.

Original languageEnglish (US)
Pages (from-to)2215-2255
Number of pages41
JournalMathematische Zeitschrift
Volume299
Issue number3-4
DOIs
StatePublished - Dec 2021

ASJC Scopus subject areas

  • Mathematics(all)

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