Baby Verma modules for rational Cherednik algebras

被引:66
作者
Gordon, I [1 ]
机构
[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland
关键词
D O I
10.1112/S0024609303001978
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:321 / 336
页数:16
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