Maurer-Cartan characterizations and cohomologies of crossed homomorphisms on Lie triple systems
DOI10.1080/00927872.2023.2250857OpenAlexW4386279922MaRDI QIDQ6198593
Publication date: 23 February 2024
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2023.2250857
cohomologyLie algebradeformationLie triple system\(L_\infty\)-algebraMaurer-Cartan elementcrossed homomorphism
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Cohomology of Lie (super)algebras (17B56) Ternary compositions (17A40) Other (n)-ary compositions ((n ge 3)) (17A42) Yang-Baxter equations and Rota-Baxter operators (17B38)
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Cites Work
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- Cohomology and deformations of \(n\)-Lie algebra morphisms
- A controlling cohomology of the deformation theory of Lie triple systems
- Differential type operators and Gröbner-Shirshov bases.
- Some constructions of multiplicative \(n\)-ary Hom-Nambu algebras
- Cohomology and deformations of crossed homomorphisms
- Lie theory for nilpotent \(L_{\infty}\)-algebras
- On differential Rota-Baxter algebras.
- Higher derived brackets and homotopy algebras
- On the deformation of rings and algebras
- On the Representation Theory of Lie Triple Systems
- Cohomology of Lie Triple Systems and Lie Algebras With Involution
- Deformations of 3-algebras
- Crossed morphisms, integration of post-Lie algebras and the post-Lie Magnus expansion
- -Differential operators and -differential modules for the Virasoro algebra
- Cohomology and deformations in graded Lie algebras
- On Deformations of n-Lie Algebras
- Lie and Jordan Triple Systems
- A Structure Theory of Lie Triple Systems
- ACTIONS OF MONOIDAL CATEGORIES AND REPRESENTATIONS OF CARTAN TYPE LIE ALGEBRAS
- Cohomologies and deformations of O-operators on Lie triple systems
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