Degenerate Double Affine Hecke Algebra And Conformal Field Theory
Abstract
We introduce a class of induced representations of the degenerate double affine Hecke algebra of glN 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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