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Central extensions and semi-infinite wedge representations of Krichever-Novikov algebras for more than two points

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Abstract

For the generalized Krichever-Novikov algebras of meromorphic vector fields and their induced modules of weight λ a different basis is given. With respect to this basis the module structure is generalized graded. ‘Local’ central extensions of these algebras and their representations on the space of semi-infinite wedge product of forms of weight λ are studied. In this generalization, one again obtains c = -2(6λ2 -6λ +1) as the value for the central charge.

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  1. Faculty of Mathematics and Computer Science, University of Mannheim, A5, D-6800, Mannheim, Germany

    Martin Schlichenmaier

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  1. Martin Schlichenmaier
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Schlichenmaier, M. Central extensions and semi-infinite wedge representations of Krichever-Novikov algebras for more than two points. Lett Math Phys 20, 33–46 (1990). https://doi.org/10.1007/BF00417227

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