Morita equivalence problem for symplectic reflection algebras
Abstract
In this paper we fully solve the Morita equivalence problem for symplectic reflection algebras associated to direct products of finite subgroups of SL2(C). Namely, given a pair of such symplectic reflection algebras Hc, Hc',then Hc is Morita equivalent to Hc' if and only if they are related by a standard Morita equivalence. We also establish new cases for Morita classification problem for type A rational Cherednik algebras. Our approach crucially relies on the reduction modulo large primes.
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