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Baby Verma modules for rational Cherednik algebras. (English) Zbl 1042.16017

In the paper under review the author introduces and studies baby Verma modules over symplectic reflection algebras of complex reflection groups at parameter \(t=0\) (the so-called rational Cherednik algebras at parameter \(t=0\)). The basic properties of these module are similar to the properties of the classical (baby) Verma modules. Baby Verma modules are then used to answer several problems posed by P. Etingof and V. Ginzburg [in Invent. Math. 147, No. 2, 243-348 (2002; Zbl 1061.16032)].

MSC:

16S80 Deformations of associative rings
16S38 Rings arising from noncommutative algebraic geometry
05E10 Combinatorial aspects of representation theory
20F55 Reflection and Coxeter groups (group-theoretic aspects)

Citations:

Zbl 1061.16032
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