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

被引：57
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
来源：
JOURNAL OF ALGEBRA | 1998年 / 209卷 / 01期
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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收藏
页码：288 / 304
页数：17
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