Baby Verma Modules for Rational Cherednik Algebras

This paper introduces 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 presents their most basic properties. Baby Verma modules are then used to answer several problems posed by Etingof and Ginzburg, and to give an elementary proof of a theorem of Finkelberg and Ginzburg. 2000 Mathematics Subject Classification 16Rxx, 16S38, 05E10.