Abstract
The quotient realization of the central extensions of the current groups over Riemann surfaces is achieved by means of the Leray residue theory. This approach replaces de Rham cohomology in the classical WZNW construction for affine Lie groups.
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Communicated by G. Felder
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Frenkel, I.B., Khesin, B.A. Four dimensional realization of two dimensional current groups. Commun.Math. Phys. 178, 541–561 (1996). https://doi.org/10.1007/BF02108814
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DOI: https://doi.org/10.1007/BF02108814