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Rational Cherednik algebras and diagonal coinvariants of G(m,p,n)

Richard Vale
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Abstract

We construct a quotient ring of the ring of diagonal coinvariants of the complex reflection group $W=G(m,p,n)$ and determine its graded character. This generalises a result of Gordon for Coxeter groups. The proof uses a study of category $\cO$ for the rational Cherednik algebra of $W$.

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BibTeXRIS

Richard Vale. 2005-11-24. Rational Cherednik algebras and diagonal coinvariants of G(m,p,n). https://arxiv.org/abs/math/0505416

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