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The subalgebras of $$A_2$$. (English) Zbl 1377.17007
The paper provides a classification of all nonsemisimple subalgebras of the Lie algebra of traceless matrices or order $$3$$ with complex entries, denoted by $$A_2$$. In order to do this, the authors classify the solvable and Levi decomposable subalgebras of $$A_2$$. By using the well known classification of semisimple subalgebras and the Levi’s Theorem, it leads to the classification of all subalgebras of $$A_2$$. The classification is up to inner automorphism.

##### 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
SLA
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