Degenerate Double Affine Hecke Algebra And Conformal Field Theory

Details Degenerate Double Affine Hecke Algebra And Conformal Field Theory Degenerate Double Affine Hecke Algebra And Conformal Field Theory

1997-10-27

arxiv.org/abs/q-alg/9710031v2

Mathematics

Quantum Algebra

33 pages, Latex, changed contents

Scientific paper

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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