Cohomology and relative Rota-Baxter-Nijenhuis structures on \(\mathsf{LieYRep}\) pairs

DOI10.1016/j.geomphys.2023.104749OpenAlexW4315644163MaRDI QIDQ2693308

Yanyan Li

Publication date: 20 March 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.05905

zbMATH Keywords

cohomologyLie-Yamaguti algebra\(r\)-matrix-Nijenhuis structurerelative Rota-Baxter-Nijenhuis structure

Mathematics Subject Classification ID

General nonassociative rings (17A99) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Yang-Baxter equations and Rota-Baxter operators (17B38)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Irreducible Lie-Yamaguti algebras of generic type
• An analytic problem whose solution follows from a simple algebraic identity
• Compatible structures on Lie algebroids and Monge-Ampère operators
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Irreducible Lie-Yamaguti algebras
• Quantum analogy of Poisson geometry, related dendriform algebras and Rota-Baxter operators
• On Killing-Ricci forms of Lie triple algebras
• Compatible \(\mathcal{O}\)-operators on bimodules over associative algebras
• Rota-Baxter operators on pre-Lie superalgebras
• Deformations and their controlling cohomologies of \(\mathcal{O}\)-operators
• Lie-Yamaguti algebras related to \(\mathfrak g_2\)
• Bialgebras, the classical Yang-Baxter equation and Manin triples for 3-Lie algebras
• Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces
• Nijenhuis Operators on n -Lie Algebras
• Deformations and extensions of Lie–Yamaguti algebras
• What a Classical r-Matrix Really Is
• Kupershmidt-(dual-)Nijenhuis structures on a Lie algebra with a representation
• Invariant Poisson–Nijenhuis structures on Lie groups and classification
• Relative Rota-Baxter operators and symplectic structures on Lie-Yamaguti algebras
• Nijenhuis operators, product structures and complex structures on Lie–Yamaguti algebras
• Symmetric matrices, orthogonal Lie algebras and Lie-Yamaguti algebras
• Splitting of Operations, Manin Products, and Rota–Baxter Operators
• Rota-Baxter 3-Lie algebras
• Invariant Affine Connections on Homogeneous Spaces
• Pre-Lie analogues of Poisson-Nijenhuis structures and Maurer–Cartan equations

This page was built for publication: Cohomology and relative Rota-Baxter-Nijenhuis structures on \(\mathsf{LieYRep}\) pairs