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The subalgebras of \(\mathfrak{so}(4,\mathbb C)\). (English) Zbl 1403.17005
Summary: We classify the solvable subalgebras, semisimple subalgebras, and Levi decomposable subalgebras of \(\mathfrak{so}(4,\mathbb C)\), up to inner automorphism. By Levi’s Theorem, this is a full classification of the subalgebras of \(\mathfrak{so}(4,\mathbb C)\).

17B05 Structure theory for Lie algebras and superalgebras
17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
17B20 Simple, semisimple, reductive (super)algebras
17B30 Solvable, nilpotent (super)algebras
Full Text: DOI
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