Equivariant Nijenhuis Lie algebras extend classical Lie bialgebra constructions to operator-equipped algebras via adjoint-equivariant Nijenhuis operators, yielding ENL bialgebras, equivariant r-matrices, and relative Rota-Baxter operators.
Kosmann-Schwarzbach and F
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Equivariant Nijenhuis Lie Algebras: Extensions to Classical Lie-Theoretic Structures
Equivariant Nijenhuis Lie algebras extend classical Lie bialgebra constructions to operator-equipped algebras via adjoint-equivariant Nijenhuis operators, yielding ENL bialgebras, equivariant r-matrices, and relative Rota-Baxter operators.