Unitary representations of the Cherednik algebra: $V^*$-homology
Representation Theory
2020-08-12 v1
Abstract
We give a non-negative combinatorial formula, in terms of Littlewood-Richardson numbers, for the 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.
Keywords
Cite
@article{arxiv.2008.04412,
title = {Unitary representations of the Cherednik algebra: $V^*$-homology},
author = {Susanna Fishel and Stephen Griffeth and Elizabeth Manosalva},
journal= {arXiv preprint arXiv:2008.04412},
year = {2020}
}
Comments
41 pages