DJKM algebras I: Their universal central extension

Cox, Ben; Futorny, Vyacheslav

doi:10.1090/S0002-9939-2011-10906-7

DJKM algebras I: Their universal central extension
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by Ben Cox and Vyacheslav Futorny PDF

Proc. Amer. Math. Soc. 139 (2011), 3451-3460 Request permission

Abstract:

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 the Landau-Lifshitz differential equation.

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