35 citations · 76 across the 27 of their papers we have counts for
10 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…
Cohomologies of difference Lie groups and van Est theorem
Jun Jiang, Yunnan Li, Yunhe Sheng
A difference Lie group is a Lie group equipped with a difference operator, equivalently a crossed homomorphism with respect to the adjoint action. In this paper, first we introduce…
Primitive decompositions of idempotents of the group algebras of dihedral groups and generalized quaternion groups
Lilan Dai, Yunnan Li
In this paper, we introduce a method computing the primitive decomposition of idempotents of any semisimple finite group algebra based on its matrix representations and Wedderburn…
Construction of free differential algebras by extending Gröbner-Shirshov bases
Li Guo, Yunnan Li
As a fundamental notion, the free differential algebra on a set is concretely constructed as the polynomial algebra on the differential variables. Such a construction is not known…
An algebraic study of Volterra integral equations and their operator linearity
Li Guo, Richard Gustavson, Yunnan Li
The algebraic study of special integral operators led to the notions of Rota-Baxter operators and shuffle products which have found broad applications. This paper carries out an al…
Cohomologies, extensions and deformations of differential algebras with any weights
Li Guo, Yunnan Li, Yunhe Sheng +1
As an algebraic study of differential equations, differential algebras have been studied for a century and and become an important area of mathematics. In recent years the area has…