Gordon, Iain Baby Verma modules for rational Cherednik algebras. (English) Zbl 1042.16017 Bull. Lond. Math. Soc. 35, No. 3, 321-336 (2003). 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)]. Reviewer: Volodymyr Mazorchuk (Uppsala) Cited in 2 ReviewsCited in 42 Documents 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) Keywords:baby Verma modules; rational Cherednik algebras; Hilbert schemes; Calogero-Moser spaces; complex reflection groups; coinvariants; skew group algebras; Coxeter groups Citations:Zbl 1061.16032 PDFBibTeX XMLCite \textit{I. Gordon}, Bull. Lond. Math. Soc. 35, No. 3, 321--336 (2003; Zbl 1042.16017) Full Text: DOI arXiv