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)

DOI10.1063/1.3531984zbMath1314.22009arXiv1503.02028OpenAlexW2014045033MaRDI QIDQ5256188

Publication date: 22 June 2015

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

Full work available at URL: https://arxiv.org/abs/1503.02028

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (8)

Indecomposable modules of a family of solvable Lie algebras ⋮ Classification of embeddings of abelian extensions of $D_n$ into $E_{n+1}$ ⋮ Prime ideals of the enveloping algebra of the Euclidean algebra and a classification of its simple weight modules ⋮ The classification of uniserial $\mathfrak{sl}(2)\ltimes V(m)$-modules and a new interpretation of the Racah-Wigner $6j$-symbol ⋮ The classification of the perfect cyclic $\mathfrak{sl}(n+1)\ltimes \mathbb{C}^{n+1}$-modules ⋮ Levi decomposable algebras in the classical Lie algebras ⋮ The prime ideals and simple weight modules of the algebra 𝑈(𝔟⋉𝔙₃) ⋮ 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

Cites Work

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