Mathematics – Representation Theory
Scientific paper
2005-05-19
Mathematics
Representation Theory
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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