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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.