Sur des représentations indécomposables de dimension finie de \(SL(2).{\mathbb{R}}^ 2\). (On indecomposable finite dimensional representations of \(SL(2).{\mathbb{R}}^ 2)\)

DOI10.1016/0393-0440(86)90002-1zbMath0618.17005OpenAlexW1990533617MaRDI QIDQ1089084

Publication date: 1986

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(86)90002-1

zbMATH Keywords

cyclic representations embedding dilatation indecomposable representations semi-direct product Poincaré group semi-simple Lie algebra non-cyclic case

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (8)

On finite-dimensional representations of the Lie algebra \(sl_ 2\leftthreetimes R^ 2\) ⋮ Indecomposable modules of a family of solvable Lie algebras ⋮ Free 2-step nilpotent Lie algebras and indecomposable representations ⋮ Tensor products and intertwining operators for uniserial representations of the Lie algebra \(\mathfrak{sl}(2) \ltimes V(m)\) ⋮ 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 ⋮ Classification of linked indecomposable modules of a family of solvable Lie algebras over an arbitrary field of characteristic 0 ⋮ Indecomposable Modules of 2-step Solvable Lie Algebras in Arbitrary Characteristic

Cites Work

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