Yang-Baxter equations and relative Rota-Baxter operators for left-Alia algebras associated to invariant theory
DOI10.1007/s44198-024-00245-6MaRDI QIDQ6656733
Chuangchuang Kang, Shizhuo Yu, Guilai Liu
Publication date: 3 January 2025
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Lie bialgebras; Lie coalgebras (17B62) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Yang-Baxter equations and Rota-Baxter operators (17B38)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Special and exceptional mock-Lie algebras
- An analytic problem whose solution follows from a simple algebraic identity
- What is a classical r-matrix?
- Algebras with skew-symmetric identity of degree 3
- Embedding of dendriform algebras into Rota-Baxter algebras
- Double constructions of Frobenius algebras, Connes cocycles and their duality
- Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras
- Left-symmetric algebras, or pre-Lie algebras in geometry and physics
- Leibniz bialgebras, relative Rota-Baxter operators, and the classical Leibniz Yang-Baxter equation
- Baxter algebras and combinatorial identities. II
- What a Classical r-Matrix Really Is
- CUP-Product for Leibnitz Cohomology and Dual Leibniz Algebras.
- An Introduction to Pre‐Lie Algebras
- Splitting of Operations, Manin Products, and Rota–Baxter Operators
- Finite Unitary Reflection Groups
- Invariants of Finite Groups Generated by Reflections
- Algebraic Operads
- Quasi-triangular and factorizable antisymmetric infinitesimal bialgebras
- A survey on deformations, cohomologies and homotopies of relative Rota–Baxter Lie algebras
- Bimodules over relative Rota-Baxter algebras and cohomologies
- Post-Hopf algebras, relative Rota-Baxter operators and solutions to the Yang-Baxter equation
- Bialgebras, the Yang-Baxter equation and Manin triples for mock-Lie algebras
- A bialgebra theory for transposed Poisson algebras via anti-pre-Lie bialgebras and anti-pre-Lie Poisson bialgebras
This page was built for publication: Yang-Baxter equations and relative Rota-Baxter operators for left-Alia algebras associated to invariant theory