Extensions of superalgebras of Krichever-Novikov type

Abstract

An explicit construction of central extensions of Lie superalgebras of Krichever-Novikov type is given. In the case of Jordan superalgebras related to the superalgebras of Krichever-Novikov type we calculate a 1-cocycle with coefficients in the dual space.

References in corpus (6)

• Degenerations of Generalized Krichever Novikov algebras on Tori
• Global geometric deformations of current algebras as Krichever-Novikov type algebras
• Alternated Hochschild Cohomology
• Superalgebras associated to Riemann surfaces: Jordan algebras of Krichever-Novikov type
• Higher genus affine algebras of Krichever - Novikov type
• Affine Krichever-Novikov algebras, their representations and applications

Cited by in corpus (2)

• $N$-point Virasoro algebras are multi-point Krichever--Novikov type algebras
• Lie superalgebras of Krichever-Novikov type and their central extensions