dorsal/arxiv
View SchemaDegenerate Double Affine Hecke Algebra And Conformal Field Theory
| Authors | T. Arakawa, T. Suzuki, A. Tsuchiya |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9710031 |
| URL | https://arxiv.org/abs/q-alg/9710031 |
Abstract
We introduce a class of induced representations of the degenerate double affine Hecke algebra of gl_N and analyze their structure mainly by means of intertwiners. We also construct them from modules of the affine Lie algebra using Knizhnik-Zamolodchikov connections in the conformal field theory. This construction provides a natural quotient of induced modules, which turns out to be the unique irreducible one under a certain condition. Some cunjectual formulas are presented for the symmetric part of these quotients.
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"abstract": "We introduce a class of induced representations of the degenerate double\naffine Hecke algebra of gl_N and analyze their structure mainly by means of\nintertwiners. We also construct them from modules of the affine Lie algebra\nusing Knizhnik-Zamolodchikov connections in the conformal field theory. This\nconstruction provides a natural quotient of induced modules, which turns out to\nbe the unique irreducible one under a certain condition. Some cunjectual\nformulas are presented for the symmetric part of these quotients.",
"arxiv_id": "q-alg/9710031",
"authors": [
"T. Arakawa",
"T. Suzuki",
"A. Tsuchiya"
],
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"q-alg",
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"title": "Degenerate Double Affine Hecke Algebra And Conformal Field Theory",
"url": "https://arxiv.org/abs/q-alg/9710031"
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