Lie Algebras and Degenerate Affine Hecke Algebras of Type A

نویسنده

  • T. SUZUKI
چکیده

We construct a family of exact functors from the BGG category O of representations of the Lie algebra sln(C) to the category of finite-dimensional representations of the degenerate (or graded) affine Hecke algebra Hl of GLl. These functors transform Verma modules to standard modules or zero, and simple modules to simple modules or zero. Any simple Hl-module can be thus obtained.

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تاریخ انتشار 1998