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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 reflecti…
math-ph2025
Poisson homogeneous spaces of Poisson 2-groups
Honglei Lang, Zhangju Liu
Drinfeld classified Poisson homogeneous spaces of a Poisson Lie group in terms of Dirac structures of the Lie bialgebra. In this paper, we study homogeneous spaces of a 2-group and…