Finite dimensional representations of the Euclidean algebra e(2) having two generators

DOI10.1063/1.2197688zbMath1111.17002OpenAlexW2035429632MaRDI QIDQ3441839

Douglas, Andrew S.

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2197688

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (4)

Indecomposable modules of a family of solvable Lie algebras ⋮ Irreducible representations of finite Lie conformal algebras of planar Galilean type ⋮ The classification of the perfect cyclic \(\mathfrak{sl}(n+1)\ltimes \mathbb{C}^{n+1}\)-modules ⋮ The prime ideals and simple weight modules of the algebra 𝑈(𝔟⋉𝔙₃)

Cites Work

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• Vector and ray representations of the Euclidean group \(E(2)\)
• POINCARÉ ZERO-MASS REPRESENTATIONS
• On some nonunitary representations of the Poincaré group and their use for the construction of free quantum fields
• 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

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