An embedding theorem for Nijenhuis Lie algebras
This paper introduces the Higman-Neumann-Neumann extension (HNN extension; for short) for Nijenhuis Lie algebras and provides an embedding theorem. To this end, we employ the theory of Gröbner-Shirshov basis for Lie Ω-algebras in order to find a normal form for our construction. Then we show that every Nijenhuis Lie algebra embeds into its HNN-extension. Nijenhuis Lie algebras, Gröbner-Shirshov basis, HNN extension
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