Constant terms and multivariate polynomials
by Jan de Gier
Abstract: Certain multivariate polynomials, including specialised non-symmetric Macdonald polynomials and parabolic Kazhdan-Lusztig elements, can be given in terms of constant term expressions. These are equivalent to inhomogeneous multiple contour integrals occurring in the works of Jimbo and Miwa. I will discuss a Bethe Ansatz type derivation of these expressions from first principles.
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