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.RA2025
Reynolds Lie bialgebras
Shuai Hou, Maxim Goncharov
In this paper, we establish a bialgebra theory for Reynolds Lie algebras. First we introduce the notion of a quadratic Reynolds Lie algebra and show that it induces an isomorphism…