1 citations · 1 across the 2 of their papers we have counts for
4 papers
Cohomology theory of Novikov algebras and applications
Pavel Kolesnikov, Yue Li, Yunhe Sheng +1
In this paper, first we give a new characterization of the cohomology of pre-Lie algebras using the Chevalley-Eilenberg cohomology associated to a morphism from the operad of Lie a…
Inner post-Lie algebras and inner post-groups
V. Gubarev, Y. Li, Y. Sheng +1
In this paper, using extension theory and cohomological approach we introduce the notion of the obstruction class for an inner post-Lie algebra being induced by a Rota-Baxter opera…
Infinite-dimensional pre-Lie bialgebras via affinization of pre-Novikov bialgebras
Yue Li, Yanyong Hong
In this paper, we show that there is a pre-Lie algebra structure on the tensor product of a pre-Novikov algebra and a right Novikov dialgebra and the tensor product of a pre-Noviko…
Quasi-Frobenius Novikov algebras and pre-Novikov bialgebras
Yue Li, Yanyong Hong
Pre-Novikov algebras and quasi-Frobenius Novikov algebras naturally appear in the theory of Novikov bialgebras. In this paper, we show that there is a natural pre-Novikov algebra s…