dorsal/arxiv
View SchemaLie algebras and degenerate Affine Hecke Algebras of type A
| Authors | T. Arakawa, T. Suzuki |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9710037 |
| URL | https://arxiv.org/abs/q-alg/9710037 |
Abstract
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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"abstract": "We construct a family of exact functors from the BGG category of\nrepresentations of the Lie algebra sl to the category of finite-dimensional\nrepresentations of the degenerate (or graded) affine Hecke algebra H of GL.\nThese functors transform Verma modules to standard modules or zero, and simple\nmodules to simple modules or zero. Any simple H-module can be thus obtained.",
"arxiv_id": "q-alg/9710037",
"authors": [
"T. Arakawa",
"T. Suzuki"
],
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"q-alg",
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"title": "Lie algebras and degenerate Affine Hecke Algebras of type A",
"url": "https://arxiv.org/abs/q-alg/9710037"
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