Geodesic
Cohomology and deformations of twisted o-operators on 3-lie algebras
Filomat, Tome 37 (2023) no. 21, p. 6977

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DOI

The purpose of this paper is to introduce and study twisted O-operators on 3-Lie algebras. We construct an L ∞-algebra whose Maurer-Cartan elements are twisted O-operators and define a cohomology of a twisted O-operator T as the Chevalley-Eilenberg cohomology of a certain 3-Lie algebra induced by T with coefficients in a suitable representation. Then we consider infinitesimal and formal deformations of twisted O-operators.
DOI : 10.2298/FIL2321977C
Classification : 17B70, 17A40, 17B60, 17B56, 17B38
Keywords: Twisted O-operator, Maurer-Cartan element, L∞-algebra, cohomology, deformation 
T Chtioui; A Hajjaji; S Mabrouk; A Makhlouf. Cohomology and deformations of twisted o-operators on 3-lie algebras. Filomat, Tome 37 (2023) no. 21, p. 6977 . doi: 10.2298/FIL2321977C
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     title = {Cohomology and deformations of twisted o-operators on 3-lie algebras},
     journal = {Filomat},
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     year = {2023},
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     doi = {10.2298/FIL2321977C},
     language = {en},
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