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Degenerate Double Affine Hecke Algebra And Conformal Field Theory

T. Arakawa·T. Suzuki·A. Tsuchiya
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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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BibTeXRIS

T. Arakawa, T. Suzuki, A. Tsuchiya. 1998-04-21. Degenerate Double Affine Hecke Algebra And Conformal Field Theory. https://arxiv.org/abs/q-alg/9710031

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