Representation of the Yangian invariant motif and the Macdonald polynomial

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, , Citation Kazuhiro Hikami 1997 J. Phys. A: Math. Gen. 30 2447 DOI 10.1088/0305-4470/30/7/023

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1 Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo, Tokyo 113, Japan

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  1. Received 29 October 1996

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0305-4470/30/7/2447

Abstract

The representation of the Yangian invariant `motif' is considered. The relationship with the Rogers - Szegö polynomial is studied, whose one-parameter deformation is the Macdonald polynomial. We propose the deformation of the motifs which provides a new realization of the Macdonald polynomials for the one-row Young diagrams.

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