The centralizer of~$\frak{sl}(0,n)$ in the generalized Witt Lie superalgebra over fields of prime characteristic

Year 2024, Early Access, 1 - 7

Liwen Yu Keli Zheng

https://doi.org/10.24330/ieja.1496115

Abstract

This paper considers centralizers of the Lie superalgebra~$\frak{sl}(0,n)$ over prime characteristic fields. Using homological methods, the centralizers of the even and odd parts of ~$\frak{sl}(0,n)$ in the generalized Witt Lie superalgebra are calculated and a summary of their structural properties is provided.

Keywords

Centralizer, Lie superalgebra, zero cohomology group

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