Duality between sln(C) and the Degenerate Affine Hecke Algebra

Tomoyuki Arakawa; Takeshi Suzuki

doi:10.1006/jabr.1998.7530

Duality between sl_n(C) and the Degenerate Affine Hecke Algebra

Tomoyuki Arakawa, Takeshi Suzuki

Research output: Contribution to journal › Article › peer-review

52 Citations (Scopus)

Abstract

We construct a family of exact functors from the Bernstein-Gelfand-Gelfand category O of sl_n-modules to the category of finite-dimensional representations of the degenerate affine Hecke algebraH_lofGL_l. These functors transform Verma modules to standard modules or zero, and simple modules to simple modules or zero. Any simpleH_l-module can be thus obtained.

Original language	English
Pages (from-to)	288-304
Number of pages	17
Journal	Journal of Algebra
Volume	209
Issue number	1
DOIs	https://doi.org/10.1006/jabr.1998.7530
Publication status	Published - Nov 1 1998
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1006/jabr.1998.7530

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abstract = "We construct a family of exact functors from the Bernstein-Gelfand-Gelfand category O of sln-modules to the category of finite-dimensional representations of the degenerate affine Hecke algebraHlofGLl. These functors transform Verma modules to standard modules or zero, and simple modules to simple modules or zero. Any simpleHl-module can be thus obtained.",

author = "Tomoyuki Arakawa and Takeshi Suzuki",

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Duality between sl_n(C) and the Degenerate Affine Hecke Algebra

Abstract

ASJC Scopus subject areas

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