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arXiv · 1104.4291

Superalgebras associated to Riemann surfaces: Jordan algebras of Krichever-Novikov type

Séverine Leidwanger·Sophie Morier-Genoud
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Abstract

We construct two superalgebras associated to a punctured Riemann surface. One of them is a Lie superalgebra of Krichever-Novikov type, the other one is a Jordan superalgebra. The constructed algebras are related in several ways (algebraic, geometric, representation theoretic). In particular, the Lie superalgebra is the algebra of derivations of the Jordan superalgebra.

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BibTeXRIS

Séverine Leidwanger, Sophie Morier-Genoud. 2011-04-21. Superalgebras associated to Riemann surfaces: Jordan algebras of Krichever-Novikov type. https://arxiv.org/abs/1104.4291

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