Douglas, Andrew; Repka, Joe The subalgebras of \(\mathfrak{so}(4,\mathbb C)\). (English) Zbl 1403.17005 Commun. Algebra 44, No. 12, 5269-5286 (2016). 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 \(\mathfrak{so}(4,\mathbb C)\). Cited in 4 Documents MSC: 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 Keywords:Levi decomposable subalgebras; semisimple subalgebras; solvable subalgebras; special orthogonal algebras Software:SLA PDFBibTeX XMLCite \textit{A. Douglas} and \textit{J. Repka}, Commun. Algebra 44, No. 12, 5269--5286 (2016; Zbl 1403.17005) Full Text: DOI References: [1] Burde D., J. Lie Theory 22 (3) pp 741– (2012) [2] DOI: 10.1016/j.jalgebra.2015.01.012 · Zbl 1354.17007 [3] DOI: 10.1063/1.4880195 · Zbl 1328.17010 [4] DOI: 10.1016/j.jpaa.2013.01.010 · Zbl 1329.17009 [5] DOI: 10.1063/1.4790415 [6] DOI: 10.1080/10586458.2005.10128911 · Zbl 1173.17300 [7] de Graaf, W. A. (2009). SLA-computing with simple Lie algebras. A GAP package. Available at: http://www.science.unitn.it/ degraaf/sla.html. [8] DOI: 10.1016/j.jalgebra.2010.10.021 · Zbl 1255.17007 [9] Jacobson N., Lie Algebras (1962) [10] Minchenko, A. N. (2006). The semisimple subalgebras of exceptional Lie algebras.Trans. Moscow Math. Soc.225–259. (S 0077-1554(06)). · Zbl 1152.17003 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.