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.
Kac.Vertex algebras for beginners, volume 10 ofUniversity Lecture Series
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Constructs two vertex superalgebras chiralizing extended quiver varieties and establishes a map between them with vanishing and injectivity results under technical assumptions.
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.