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Factorization of the Loop Algebras and Compatible Lie Brackets

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Publication:5346935
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DOI10.2991/jnmp.2005.12.s1.27zbMath1362.17039OpenAlexW2123979642MaRDI QIDQ5346935

Vladimir Sokolov, Igor Z. Golubchik

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2005.12.s1.27


Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Lie bialgebras; Lie coalgebras (17B62)


Related Items

On the general solution of the permuted classical Yang–Baxter equation and quasigraded Lie algebras, R-matrix, Lax pair, and multiparameter decompositions of Lie algebras, Noncommutative Poisson bialgebras, Compatible \(L_\infty \)-algebras, Cohomology and deformations of compatible Lie triple systems, Maurer-Cartan characterizations and cohomologies of compatible Lie algebras, (Co)homology of compatible associative algebras, Universal central extensions of compatible Leibniz algebras, Totally compatible associative and Lie dialgebras, tridendriform algebras and PostLie algebras, Pairs of compatible associative algebras, classical Yang-Baxter equation and quiver representations, Compatible Lie brackets and the Yang-Baxter equation



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