The goal of this paper is to compute the supports simple modules in categories O for rational Cherednik algebras associated groups G(?,1,n). For we some combinatorial maps on set simples: wall-crossing bijections and a certain sl?-crystal Heisenberg algebra action Fock space.

0

In this paper, we introduce baby Verma modules for symplectic reflection algebras of complex reflection groups at parameter t = 0 (the so–called rational Cherednik algebras at parameter t = 0) and present their most basic properties. As an example, we use baby Verma modules to answer several problems posed by Etingof and Ginzburg, [5], and give an elementary proof of a theorem of Finkelberg and...