8 citations · 8 across the 2 of their papers we have counts for
Showing math.QAShow all
2 papers · 1 filter
math.QA2025
A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups
Dilei Lu, Chengming Bai, Li Guo
We develop a bialgebra theory of post-Lie algebras that can be characterized by Manin triples of post-Lie algebras associated to a bilinear form satisfying certain invariant condit…
math.QA2024★ 8 cited
Infinite-dimensional Lie bialgebras via affinization of perm bialgebras and pre-Lie bialgebras
Yuanchang Lin, Peng Zhou, Chengming Bai
It is known that the operads of perm algebras and pre-Lie algebras are the Koszul dual each other and hence there is a Lie algebra structure on the tensor product of a perm algebra…