Geodesic
Central extensions of Lax operator algebras
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 63 (2008) no. 4, pp. 727-766 Cet article a éte moissonné depuis la source Math-Net.Ru

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Lax operator algebras were introduced by Krichever and Sheinman as a further development of Krichever's theory of Lax operators on algebraic curves. These are almost-graded Lie algebras of current type. In this paper local cocycles and associated almost-graded central extensions of Lax operator algebras are classified. It is shown that in the case when the corresponding finite-dimensional Lie algebra is simple the two-cohomology space is one-dimensional. An important role is played by the action of the Lie algebra of meromorphic vector fields on the Lax operator algebra via suitable covariant derivatives. 
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M. Schlichenmaier; O. K. Sheinman. Central extensions of Lax operator algebras. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 63 (2008) no. 4, pp. 727-766. http://geodesic.mathdoc.fr/item/RM_2008_63_4_a3/

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