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Derivations of finite-dimensional modular Lie superalgebras $ \overline{K}(n, m) $
- Source :
- Electronic Research Archive, Vol 31, Iss 7, Pp 4266-4277 (2023)
- Publication Year :
- 2023
- Publisher :
- AIMS Press, 2023.
-
Abstract
- This paper is aimed at determining the derivation superalgebra of modular Lie superalgebra $ \overline{K}(n, m) $. To that end, we first describe the $ \mathbb{Z} $-homogeneous derivations of $ \overline{K}(n, m) $. Then we obtain the derivation superalgebra $ Der(\overline{K}) $. Finally, we partly determine the derivation superalgebra $ Der(K) $ by virtue of the invariance of $ K(n, m) $ under $ Der(\overline{K}) $.
Details
- Language :
- English
- ISSN :
- 26881594
- Volume :
- 31
- Issue :
- 7
- Database :
- Directory of Open Access Journals
- Journal :
- Electronic Research Archive
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.76423b2ddc964eb19e47570aed51f16c
- Document Type :
- article
- Full Text :
- https://doi.org/10.3934/era.2023217?viewType=HTML