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Levi decomposable subalgebras of the symplectic algebra $$C_{2}$$. (English) Zbl 1394.17023
Summary: The semisimple subalgebras of the symplectic algebra $$C_{2}$$ are well known. In this article, we classify the Levi decomposable subalgebras of the symplectic algebra $$C_{2}$$, up to inner automorphism. By Levi’s theorem, a full classification of the subalgebras of $$C_{2}$$ would be complete with a classification of its solvable subalgebras.{