Mathematics – Rings and Algebras
Scientific paper
2010-09-05
Mathematics
Rings and Algebras
Scientific paper
The purpose of this paper is to explicitly describe in terms of generators
and relations the universal central extension of the infinite dimensional Lie
algebra, $\mathfrak g\otimes \mathbb C[t,t^{-1},u|u^2=(t^2-b^2)(t^2-c^2)]$,
appearing in the work of Date, Jimbo, Kashiwara and Miwa in their study of
integrable systems arising from Landau-Lifshitz differential equation.
Cox Ben
Futorny Vyatcheslav
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