The Subalgebras of

DOI10.1080/00927872.2016.1172610zbMath1403.17005OpenAlexW2461625604MaRDI QIDQ2827248

Douglas, Andrew S., Joe Repka

Publication date: 12 October 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2016.1172610

zbMATH Keywords

semisimple subalgebrasLevi decomposable subalgebrassolvable subalgebrasspecial orthogonal algebras

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 (4)

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 ⋮ Möbius automorphisms of surfaces with many circles

Uses Software

• SLA

Cites Work

• 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
• The Euclidean algebra in rank 2 classical Lie algebras
• The semisimple subalgebras of exceptional Lie algebras

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