The subalgebras of the rank two symplectic Lie algebra

2017/04/02 by Douglas, Andrew, Repka, Joe
#17B05 #17B10 #17B20 #17B30 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1704.00241

Abstract

The semisimple subalgebras of the rank 2 symplectic Lie algebra \mathfraksp(4,ℂ) are well-known, and we recently classified its Levi decomposable subalgebras. In this article, we classify the solvable subalgebras of \mathfraksp(4,ℂ), up to inner automorphism. This completes the classification of the subalgebras of \mathfraksp(4,ℂ). More broadly speaking, in completing the classification of the subalgebras of \mathfraksp(4,ℂ) we have completed the classification of the subalgebras of the rank 2 semisimple Lie algebras.

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