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DJKM algebras and non-classical orthogonal polynomials
Published 8 Oct 2012 in math.CA, math-ph, math.MP, and math.RT | (1210.2129v2)
Abstract: We describe families of polynomials arising in the study of the universal central extensions of Lie algebras introduced by Date, Jimbo, Kashiwara, and Miwa in their work on the Landau-Lifshitz equations. Two of the families of polynomials we show satisfy certain forth order linear differential equations, are orthogonal and are not of classical type.
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