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

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

2011-04-21

arxiv.org/abs/1104.4291v1

Mathematics

Rings and Algebras

18 pages

Scientific paper

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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