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.
Schr¨ odinger-Virasoro Lie conformal algebra.J
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Introduces transposed Poisson conformal superalgebras, proves structural properties including tensor products and compatibility conditions, and classifies all such structures on rank-(1+1) Lie conformal superalgebras using prior classifications.
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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.