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Conformal Lie 2-algebras and conformal omni-Lie algebras
Published 7 Dec 2022 in math.RA, math-ph, math.MP, and math.QA | (2301.06903v3)
Abstract: 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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