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Trace Construction of a Basis for the Solution Space¶of sl N qKZ Equation

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Abstract:

The trace of intertwining operators over the level one irreducible highest weight modules of the quantum affine algebra of type A N −1 (1) is studied. It is proved that the trace function gives a basis of the solution space of the qKZ equation at a generic level. The highest-highest matrix elements of the composition of intertwining operators are explicitly determined as rational functions up to an overall scalar function. The integral formula for the trace is presented.

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  1. Graduate School of Mathematics, Kyushu University, Ropponmatsu 4-2-1, Fukuoka 810-8560, Japan.¶E-mail: atsushi@rc.kyushu-u.ac.jp, , , , , , JP

    Atsushi Nakayashiki

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  1. Atsushi Nakayashiki
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Received: 26 March 1999 / Accepted: 4 January 2000

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Nakayashiki, A. Trace Construction of a Basis for the Solution Space¶of sl N qKZ Equation. Comm Math Phys 212, 29–61 (2000). https://doi.org/10.1007/s002200000194

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  • DOI: https://doi.org/10.1007/s002200000194

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