Duality between ζιn(C) and the degenerate affine Hecke algebra

被引:56
|
作者
Arakawa, T [1 ]
Suzuki, T
机构
[1] Nagoya Univ, Grad Sch Math, Nagoya, Aichi, Japan
[2] Kyoto Univ, Math Sci Res Inst, Kyoto, Japan
基金
日本学术振兴会;
关键词
D O I
10.1006/jabr.1998.7530
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct a family of exact functors from the Bernstein-Gelfand-Gelfand category O of SIn-modules to the category of finite-dimensional representations of the degenerate affine Hecke algebra H-l of GL(l). These functors transform Verma modules to standard modules or zero, and simple modules to simple modules or zero. Any simple H-l module can be thus obtained. (C) 1998 Academic Press.
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页码:288 / 304
页数:17
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