Irreducible representations over the diamond Lie algebra

DOI10.1080/00927872.2017.1313421zbMath1429.17026OpenAlexW2606452584MaRDI QIDQ4640126

Dong Liu, Yufeng Pei, Li-Meng Xia

Publication date: 16 May 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1313421

zbMATH Keywords

irreducible modulesEuclidean algebradiamond Lie algebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68)

Related Items (2)

Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra ⋮ On the cohomology of Lie algebras with an invariant inner product

Cites Work

• Irreducible Virasoro modules from irreducible Weyl modules
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• Classification of simple weight modules with finite-dimensional weight spaces over the Schrödinger algebra
• On simple modules over conformal Galilei algebras
• Lie theory and special functions
• 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
• A Class of Nonunitary, Finite Dimensional Representations of the Euclidean Algebra 𝔢(2)
• Quivers and the Euclidean group
• Wess-Zumino-Witten model based on a nonsemisimple group
• Some finite dimensional indecomposable representations of E(2)
• Unitary representations of the two-dimensional Euclidean group in the Heisenberg algebra
• Singular orbits of the co-adjoint representation of Euclidean groups
• Indecomposable representations of the Diamond Lie algebra

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