Introduces compatible Lie conformal bialgebras, proves equivalence to matched pairs and Manin triples on finite free modules, and characterizes coboundary tensors via three conformal Yang-Baxter conditions with counterexamples to related equations.
Solutions of the classical Yang–Baxter equation for simple Lie algebras
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Compatible Lie conformal bialgebras
Introduces compatible Lie conformal bialgebras, proves equivalence to matched pairs and Manin triples on finite free modules, and characterizes coboundary tensors via three conformal Yang-Baxter conditions with counterexamples to related equations.