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arXiv:math/0505416 [math.RT]AbstractReferencesReviewsResources

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

Richard Vale

Published 2005-05-19, updated 2005-11-24Version 2

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 $W$.

Comments: 18 pages. Main result substantially extended
Categories: math.RT, math.CO
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