A classification of the embeddings of the Diamond Lie algebra into $\mathfrak {sl}(3,\mathbb {C})$sl(3,C) and $\mathfrak {sp}(4,\mathbb {C})$sp(4,C), and restrictions of irreducible modules

DOI10.1063/1.3653296zbMath1272.17017OpenAlexW1991400038WikidataQ115333368 ScholiaQ115333368MaRDI QIDQ2851744

Douglas, Andrew S., Wainright Joseph, Joe Repka

Publication date: 2 October 2013

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

Full work available at URL: https://doi.org/10.1063/1.3653296

zbMATH Keywords

irreducible representation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Solvable, nilpotent (super)algebras (17B30) Central extensions and Schur multipliers (19C09)

Related Items (1)

Irreducible representations over the diamond Lie algebra

Cites Work

• INDECOMPOSABLE REPRESENTATIONS OF THE EUCLIDEAN ALGEBRA 𝔢(3) FROM IRREDUCIBLE REPRESENTATIONS OF
• A Class of Nonunitary, Finite Dimensional Representations of the Euclidean Algebra 𝔢(2)
• Wess-Zumino-Witten model based on a nonsemisimple group
• Indecomposable representations of the Diamond Lie algebra
• Embeddings of the Euclidean algebra $\mathfrak {e}(3)$e(3) into $\mathfrak {sl}(4,\mathbb {C})$sl(4,C) and restrictions of irreducible representations of $\mathfrak {sl}(4,\mathbb {C})$sl(4,C)

This page was built for publication: A classification of the embeddings of the Diamond Lie algebra into $\mathfrak {sl}(3,\mathbb {C})$sl(3,C) and $\mathfrak {sp}(4,\mathbb {C})$sp(4,C), and restrictions of irreducible modules