Classification of finite dimensional uniserial representations of conformal Galilei algebras

DOI10.1063/1.4966114zbMath1361.17013arXiv1606.06322OpenAlexW3103732149MaRDI QIDQ2832710

Leandro Cagliero, Luis Gutiérrez Frez, Fernando Szechtman

Publication date: 14 November 2016

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

Full work available at URL: https://arxiv.org/abs/1606.06322

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie (super)algebras to physics, etc. (17B81)

Related Items (4)

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 \(\mathfrak{sl}(2) \ltimes V(m)\) ⋮ Nilpotency degree of the nilradical of a solvable Lie algebra on two generators and uniserial modules associated to free nilpotent Lie algebras

Cites Work

• The classification of uniserial \(\mathfrak{sl}(2)\ltimes V(m)\)-modules and a new interpretation of the Racah-Wigner \(6j\)-symbol
• On simple modules over conformal Galilei algebras
• Serial rings
• Varieties of uniserial representations IV. Kinship to geometric quotients
• On the Theorem of the Primitive Element with Applications to the Representation Theory of Associative and Lie Algebras
• On the Indecomposable Representations of a Certain Class of Groups
• HIGHEST WEIGHT REPRESENTATIONS AND KAC DETERMINANTS FOR A CLASS OF CONFORMAL GALILEI ALGEBRAS WITH CENTRAL EXTENSION
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