Nijenhuis Lie conformal algebras are given a cohomology, a 2-term homotopy theory, a classification of non-abelian extensions, and a Wells-type obstruction to automorphism inducibility.
Conformal Lie 2-algebras and conformal omni-Lie algebras
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The notions of conformal Lie 2-algebras and conformal omni-Lie algebras are introduced and studied. It is proved that the category of conformal Lie 2-algebras and the category of 2-term conformal $L_{\infty}$-algebras are equivalent. We construct conformal Lie 2-algebras from conformal omni-Lie algebras and Leibniz conformal algebras.
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Cohomology, Homotopy, Extensions, and Automorphisms of Nijenhuis Lie Conformal Algebras
Nijenhuis Lie conformal algebras are given a cohomology, a 2-term homotopy theory, a classification of non-abelian extensions, and a Wells-type obstruction to automorphism inducibility.