The Euclidean algebra in rank 2 classical Lie algebras

DOI10.1063/1.4880195zbMath1328.17010OpenAlexW2024906464WikidataQ115333257 ScholiaQ115333257MaRDI QIDQ5171383

Wainwright Joseph, Douglas, Andrew S., Joe Repka

Publication date: 26 July 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4880195

zbMATH Keywords

classificationEuclidean Lie algebrarank 2 semi-simple Lie algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (5)

Leibniz algebras associated with representations of Euclidean Lie algebra ⋮ The subalgebras of \(A_2\) ⋮ The Subalgebras of ⋮ The prime ideals and simple weight modules of the algebra 𝑈(𝔟⋉𝔙₃) ⋮ Levi decomposable subalgebras of the symplectic algebra C2

Cites Work

• Unnamed Item
• Classification of embeddings of abelian extensions of \(D_n\) into \(E_{n+1}\)
• Constructing semisimple subalgebras of semisimple Lie algebras
• Cones, crystals, and patterns
• Semisimple subalgebras of semisimple Lie algebras
• A Class of Nonunitary, Finite Dimensional Representations of the Euclidean Algebra 𝔢(2)
• The semisimple subalgebras of exceptional Lie algebras

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