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arxiv: 1309.7316 · v1 · pith:HRKHEQ3Inew · submitted 2013-09-27 · 🧮 math.RT

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

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keywords algebradjkmrealizationscentralconstructdate-jimbo-kashiwara-miwadescriptiondifferential
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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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