2 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 , and show that they give rise to solutions of the classical reflect…