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

Richard Vale

math.RTarXiv:math/0505416

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 for the rational Cherednik algebra of W.

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