Deformations and Extensions of Modified λ -Differential 3-Lie Algebras

Wen Teng and Hui Zhang ()
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Wen Teng: School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China
Hui Zhang: School of Information, Guizhou University of Finance and Economics, Guiyang 550025, China

Mathematics, 2023, vol. 11, issue 18, 1-15

Abstract: In this paper, we propose the representation and cohomology of modified λ -differential 3-Lie algebras. As their applications, the linear deformations, abelian extensions and T ∗ -extensions of modified λ -differential 3-Lie algebras are also studied.

Keywords: 3-Lie algebras; modified ?-differential operator; representation; cohomology; linear deformation; abelian extension; T ? -extension (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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