Extensions of superalgebras of Krichever-Novikov type
Marie Kreusch
TL;DR
This paper constructs explicit central extensions for Lie superalgebras of Krichever-Novikov type and computes related 1-cocycles for Jordan superalgebras, advancing the understanding of their algebraic structures.
Contribution
It provides explicit constructions of central extensions and calculates 1-cocycles for Jordan superalgebras related to Krichever-Novikov superalgebras, a novel contribution.
Findings
Explicit central extensions constructed for Krichever-Novikov type superalgebras
Calculation of 1-cocycle for Jordan superalgebras related to these superalgebras
Enhanced understanding of algebraic structures of superalgebras
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.