Rota-Baxter mock-Lie bialgebras and related structures

DOI10.1142/s0219887824501044MaRDI QIDQ6557313

Ismail Laraiedh

Publication date: 18 June 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

Manin tripleRota-Baxter operatormatched paircoboundarymock-Lie bialgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie bialgebras; Lie coalgebras (17B62) Bialgebras (16T10) Yang-Baxter equations and Rota-Baxter operators (17B38)

Cites Work

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• Jacobi-Jordan algebras
• Special and exceptional mock-Lie algebras
• On a type of commutative algebras
• An analytic problem whose solution follows from a simple algebraic identity
• What is a classical r-matrix?
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• Deformations of Lie algebras using \(\sigma\)-derivations
• Quasi-Lie structure of \(\sigma \)-derivations of \(\mathbb C[t^{\pm 1}\)]
• Rota–Baxter coalgebras and Rota–Baxter bialgebras

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