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

Published 27 Sep 2013 in math.RT | (1309.7316v1)

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^4-2ct²⁺¹}} ]$ given in earlier work to construct realizations of the DJKM algebra in terms of sums of partial differential operators.

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