Yunhe Sheng

activity

20152026

most cited

3

L i e_{\infty}

-algebras and

3

-Lie 2-algebras

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.RA2026

Equivariant Nijenhuis Lie Algebras: Extensions to Classical Lie-Theoretic Structures

Shuai Hou, Zohreh Ravanpak, Yunhe Sheng

We develop a theory of equivariant Nijenhuis Lie algebras (ENL algebras), namely Lie algebras equipped with Nijenhuis operators satisfying an equivariance condition with respect to…

math-ph2025

Reflections on Rota-Baxter Lie algebras, the classical reflection equation and Poisson homogeneous spaces

Honglei Lang, Yunhe Sheng

In this paper, first we introduce the notion of reflections on quadratic Rota-Baxter Lie algebras of weight $λ$ , and show that they give rise to solutions of the classical reflecti…

math.RT2015★ 3 cited

$3$ - $L i e_{\infty}$ -algebras and $3$ -Lie 2-algebras

Yanqiu Zhou, Yumeng Li, Yunhe Sheng

In this paper, we introduce the notions of a $3$ - $L i e_{\infty}$ -algebra and a 3-Lie 2-algebra. The former is a model for a 3-Lie algebra that satisfy the fundamental identity up to a…

Equivariant Nijenhuis Lie Algebras: Extensions to Classical Lie-Theoretic Structures

Reflections on Rota-Baxter Lie algebras, the classical reflection equation and Poisson homogeneous spaces

3-Lie∞​-algebras and 3-Lie 2-algebras

$3$ - $L i e_{\infty}$ -algebras and $3$ -Lie 2-algebras