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arXiv · 1309.7316

Free field realizations of the Date-Jimbo-Kashiwara-Miwa algebra

Ben Cox·Vyacheslav Futorny·Renato Alessandro Martins
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Abstract

We use the description of the universal central extension of the DJKM algebra $\mathfrak{sl}(2, R)$ where $ R=\mathbb C[t,t^{-1},u\,|\,u^2=t^4-2ct^2+1 ]$ given in earlier work to construct realizations of the DJKM algebra in terms of sums of partial differential operators.

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Ben Cox, Vyacheslav Futorny, Renato Alessandro Martins. 2013-09-27. Free field realizations of the Date-Jimbo-Kashiwara-Miwa algebra. https://arxiv.org/abs/1309.7316

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