Baby Verma Modules for Rational Cherednik Algebras | Zendy

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Baby Verma Modules for Rational Cherednik Algebras

Author(s) -

Gordon Iain

Publication year - 2003

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/s0024609303001978

Subject(s) - mathematics , reflection (computer programming) , mathematics subject classification , verma module , pure mathematics , symplectic geometry , algebra over a field , subject (documents) , lie algebra , computer science , programming language , library science

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.

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