Lie algebras and degenerate Affine Hecke Algebras of type A

Details Lie algebras and degenerate Affine Hecke Algebras of type A Lie algebras and degenerate Affine Hecke Algebras of type A

1997-10-30

arxiv.org/abs/q-alg/9710037v2

Mathematics

Quantum Algebra

15 pages, AMS-LaTex, some typos are corrected; some minor changes are made. to appear in Journal of Algebra, with the title ``

Scientific paper

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

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