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

2005/05/19 by Richard Vale, Vale, Richard
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.math/0505416

openalex publication_date 2005/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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