XXXIII Workshop on Geometric Methods in Physics 29.06-5.07.2014

Martin Schlichenmaier

Lie superalgebras of Krichever-Novikov type

Lie superalgebras of Krichever-Novikov type, are certain algebras
consisting of meromorphic half-forms on compact Riemann surfaces, which are holomorphic outside a given finite set of points. We introduce them, their almost-grading and their central extensions. We will show that there is up to equivalence and rescaling of the central element only one almost-graded central extension for a given such
algebra with fixed almost-grading.

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