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

Mathematics – Representation Theory

Scientific paper

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18 pages. Main result substantially extended

Scientific paper

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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