A Hochschild's 6-term exact sequence for restricted Lie superalgebras
Gongxiang Liu
TL;DR
This paper extends Hochschild's 6-term exact sequence from restricted Lie algebras to the broader class of restricted Lie superalgebras, advancing the understanding of their cohomological properties.
Contribution
It generalizes Hochschild's exact sequence to restricted Lie superalgebras, providing new tools for their cohomological analysis.
Findings
Established a 6-term exact sequence for restricted Lie superalgebras cohomology
Unified cohomological framework for Lie algebras and superalgebras
Facilitated further research in superalgebra cohomology
Abstract
In [5], Hochschild established a 6-term exact sequence for the cohomology of restricted Lie algebras. We generalize this result to restricted Lie superalgebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons