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Higher structures for Lie $H$-pseudoalgebras
Apurba Das
https://arxiv.org/abs/2403.10777 https://arxiv.org/pdf/2403.10777

Higher structures for Lie $H$-pseudoalgebras
Let $H$ be a cocommutative Hopf algebra. The notion of Lie $H$-pseudoalgebra is a multivariable generalization of Lie conformal algebras. In this paper, we study some higher structures related to Lie $H$-pseudoalgebras where we increase the flexibility of the Jacobi identity. Namely, we first introduce $L_\infty$ $H$-pseudoalgebras (also called strongly homotopy Lie $H$-pseudoalgebras) as the homotopy analogue of Lie $H$-pseudoalgebras. We give several equivalent descriptions of such homotopy a…