Free Field Realizations of the Date-Jimbo-Kashiwara-Miwa Algebra
We use the description of the universal central extension of the DJKM algebra \(\mathfrak{s}\mathfrak{l}(2,R)\) where \(R = \mathbb{C}[t,t^{-1},u\,\vert \,u^{2} = t^{4} - 2ct^{2} + 1]\) given in [CF11] to construct realizations of the DJKM algebra in terms of sums of partial differential operators.