5 papers · 1 filter
On restricted Rota-Baxter Lie algebras of arbitrary weight
Yunnan Li, Ke Ou
Recently, Ehret and Gilliers introduced the notion of a (trivially) restricted post-Lie algebra, recovering the concepts of a restricted Lie algebra and a restricted pre-Lie algebr…
Post-Hopf algebroids, post-Lie-Rinehart algebras and geometric numerical integration
Adrien Busnot Laurent, Yunnan Li, Yunhe Sheng
In this paper, we introduce the notion of post-Hopf algebroids, generalizing the pre-Hopf algebroids introduced in [Bronasco, Laurent, 2025] in the study of exotic aromatic S-serie…
Generalized Reynolds algebras from Volterra integrals and their free construction by complete shuffle product
Li Guo, Richard Gustavson, Yunnan Li
This paper introduces algebraic structures for Volterra integral operators with separable kernels, in the style of differential algebra for derivations and Rota-Baxter algebra for…
On the sub-adjacent Hopf algebra of the universal enveloping algebra of a post-Lie algebra
Yunnan Li
Recently the notion of post-Hopf algebra was introduced, with the universal enveloping algebra of a post-Lie algebra as the fundamental example. A novel property is that any cocomm…
Towards the classification of finite-dimensional diagonally graded commutative algebras
Yunnan Li, Shi Yu
Any finite-dimensional commutative (associative) graded algebra with all nonzero homogeneous subspaces one-dimensional is defined by a symmetric coefficient matrix. This algebraic…