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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 ofsums of partial differential operators.

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