TY - JOUR
T1 - Unitary representations of the Cherednik algebra
T2 - V∗ -homology
AU - Fishel, Susanna
AU - Griffeth, Stephen
AU - Manosalva, Elizabeth
N1 - Funding Information:
We thank Bernard Leclerc and an anonymous referee for helpful comments. The second author acknowledges the financial support of Fondecyt Proyecto Regular 1190597. This work was supported by a grant from the Simons Foundation (#359602, Susanna Fishel)
Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2021/12
Y1 - 2021/12
N2 - 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.
AB - 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.
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U2 - 10.1007/s00209-021-02746-2
DO - 10.1007/s00209-021-02746-2
M3 - Article
AN - SCOPUS:85105475403
SN - 0025-5874
VL - 299
SP - 2215
EP - 2255
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 3-4
ER -