The subalgebras of \(A_2\)

DOI10.1016/j.jpaa.2015.11.011zbMath1377.17007OpenAlexW2964282291MaRDI QIDQ908333

Joe Repka, Douglas, Andrew S.

Publication date: 4 February 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2015.11.011

zbMATH Keywords

subalgebrasLevi decomposable subalgebrasnonsemisimple subalgebrassolvable subalgebras

Mathematics Subject Classification ID

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

Related Items (3)

The subalgebras of the rank two symplectic Lie algebra ⋮ Closed subsets of root systems and regular subalgebras ⋮ Subalgebras of the rank two semisimple Lie algebras

Uses Software

• SLA

Cites Work

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• Classification of embeddings of abelian extensions of \(D_n\) into \(E_{n+1}\)
• Constructing semisimple subalgebras of semisimple Lie algebras
• Levi decomposable algebras in the classical Lie algebras
• Classification of solvable Lie algebras with a given nilradical by means of solvable extensions of its subalgebras
• Solvable Lie algebras of dimension \(\leq 4\) over perfect fields
• Semisimple subalgebras of semisimple Lie algebras
• Classification of Solvable Lie Algebras
• Solvable Lie algebras with Abelian nilradicals
• Solvable Lie algebras with triangular nilradicals
• The Euclidean algebra in rank 2 classical Lie algebras
• The semisimple subalgebras of exceptional Lie algebras

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