Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements

DOI10.1016/j.laa.2007.08.017zbMath1168.17005arXiv0706.2465OpenAlexW2018093821WikidataQ115344898 ScholiaQ115344898MaRDI QIDQ2469511

Roman O. Popovych, Jirí Patera, Vyacheslav M. Boyko

Publication date: 6 February 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.2465

zbMATH Keywords

Casimir operatorstriangular matricesmoving framesinvariants of Lie algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Group actions and symmetry properties (58D19) Solvable, nilpotent (super)algebras (17B30)

Related Items (6)

Classification of solvable Leibniz algebras with null-filiform nilradical ⋮ On solvable Leibniz algebras whose nilradical is a direct sum of null-filiform algebras ⋮ The classification of 4-dimensional Leibniz algebras ⋮ The generating set of the differential invariant algebra and Maurer-Cartan equations of a (2+1)-dimensional Burgers equation ⋮ Some cohomologically rigid solvable Leibniz algebras ⋮ Invariant operators of five-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group \(\mathrm{P}(1,4)\)

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