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Article Dans Une Revue International Mathematics Research Notices Année : 2012

SUPERALGEBRAS ASSOCIATED TO RIEMANN SURFACES: JORDAN ALGEBRAS OF KRICHEVER-NOVIKOV TYPE

Résumé

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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hal-03464241 , version 1 (03-12-2021)

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  • HAL Id : hal-03464241 , version 1

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Séverine Leidwanger, Sophie Morier-Genoud. SUPERALGEBRAS ASSOCIATED TO RIEMANN SURFACES: JORDAN ALGEBRAS OF KRICHEVER-NOVIKOV TYPE. International Mathematics Research Notices, 2012, 19, pp.4449-4474. ⟨hal-03464241⟩
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