Journal of Lie Theory

Conformal Lie 2-algebras and conformal omni-Lie algebras
Zhang, Tao1
1School of Mathematics and Statistics, Henan Normal University, Xinxiang 453007, P. R. China
Journal of Lie Theory, Online first, pp. 1-20

The notions of conformal Lie 2-algebras and conformal omni-Lie algebras are introduced. 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.

Received:
Accepted:
DOI: 10.5802/jolt.1429
Classification: 17B69, 17A32, 18G55
Keywords: Conformal Lie 2-algebras, 2-term conformal $L_{\infty }$-algebras, conformal omni-Lie algebras, Leibniz conformal algebras

Zhang, Tao  1

1 School of Mathematics and Statistics, Henan Normal University, Xinxiang 453007, P. R. China 
Zhang, Tao. Conformal Lie 2-algebras and conformal omni-Lie algebras. Journal of Lie Theory, Online first, pp. 1-20
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