Abstract
We introduce a class of induced representations of the degenerate double affine Hecke algebra H of \(g{l_N}\)(ℂ) and analyze their structure mainly by means of intertwiners of H. We also construct them from \(\hat s{l_m}\)(ℂ)-modules using Knizhnik-Zamolodchikov connections in the conformai 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 conjectural formulas are presented for the symmetric part of these quotients.
Supported by JSPS, the Research Fellowships for Young Scientists.
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© 1998 Springer Science+Business Media New York
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Arakawa, T., Suzuki, T., Tsuchiya, A. (1998). Degenerate Double Affine Hecke Algebra and Conformal Field Theory. In: Kashiwara, M., Matsuo, A., Saito, K., Satake, I. (eds) Topological Field Theory, Primitive Forms and Related Topics. Progress in Mathematics, vol 160. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0705-4_1
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DOI: https://doi.org/10.1007/978-1-4612-0705-4_1
Publisher Name: Birkhäuser, Boston, MA
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