8 papers
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…
Classification of intrinsically mixed D non-invertible Rep SPT phases
Youxuan Wang
We classify d bosonic SPT phases with non-invertible symmetry , equivalently the fusion-category symmetry $\mathcal{H}=\mathrm{Rep}(G)\times\mathrm{Ve…
Global Koszul Duality: Differential Graded Cocommutative Coalgebras and Curved Lie Algebras
Alexander Mallon, You Wang
We give a combinatorial model structure to the category of, not necessarily conilpotent, differential graded (dg) cocommutative coalgebras and an -category structure to the…
Rota-Baxter operators on braces, post-braces and the Yang-Baxter equation
Li Guo, Yan Jiang, Yunhe Sheng +1
Combining the notions of braces and relative Rota-Baxter operators on groups in connection with the Yang-Baxter equation and a factorization theorem of Lie groups from integrable s…
Braided dynamical groups, the dynamical Yang-Baxter equation and related structures
Chengming Bai, Li Guo, Yunhe Sheng +1
We introduce the notion of a braided dynamical group which is a matched pair of dynamical groups satisfying extra conditions. It is shown to give a solution of the dynamical Yang-B…
Quasi-triangular and factorizable dendriform D-bialgebras
You Wang
In this paper, we introduce the notions of quasi-triangular and factorizable dendriform D-bialgebras. A factorizable dendriform D-bialgebra leads to a factorization of the underlyi…