Deformations and cohomologies of embedding tensors on 3-Lie algebras

DOI10.1080/00927872.2023.2214215zbMath1530.17002arXiv2302.08725OpenAlexW4378529402MaRDI QIDQ6094245

Lina Song, Yan-qiu Zhou, Meiyan Hu, Shuai Hou

Publication date: 10 October 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.08725

zbMATH Keywords

cohomologyrepresentationdeformation3-Lie algebraembedding tensor

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Other (n)-ary compositions ((n ge 3)) (17A42) Yang-Baxter equations and Rota-Baxter operators (17B38)

Cites Work

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• Averaging algebras, Schröder numbers, rooted trees and operads
• On the Lie-algebraic origin of metric 3-algebras
• The Lie algebra structure of tangent cohomology and deformation theory
• Introduction to sh Lie algebras for physicists
• Symplectic, product and complex structures on 3-Lie algebras
• Simple finite-dimensional double algebras
• On Lie \(k\)-algebras
• The controlling \(L_\infty \)-algebra, cohomology and homotopy of embedding tensors and Lie-Leibniz triples
• The embedding tensor, Leibniz-Loday algebras, and their higher gauge theories
• Lie 3-algebras and deformations of relative Rota-Baxter operators on 3-Lie algebras
• Rota-Baxter operators on the polynomial algebra, integration, and averaging operators
• Lie theory for nilpotent \(L_{\infty}\)-algebras
• Higher derived brackets and homotopy algebras
• Bialgebras, the classical Yang-Baxter equation and Manin triples for 3-Lie algebras
• Leibniz n-algebras
• Multiple M2-branes and the embedding tensor
• n-ary algebras: a review with applications
• Deformations of 3-algebras
• Differential graded Lie algebras, quasi-hopf algebras and higher homotopy algebras
• Generalized Hamiltonian Dynamics
• Replicators, Manin white product of binary operads and average operators
• 3-Lie∞-algebras and 3-Lie 2-algebras
• Rota-Baxter 3-Lie algebras
• Pre-Poisson algebras

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