Generalized Casimir operators of solvable Lie algebras with Abelian nilradicals

DOI10.1088/0305-4470/27/8/016zbMath0835.17007OpenAlexW2008579426MaRDI QIDQ4861012

Pavel Winternitz, Jean-Claude Ndogmo

Publication date: 8 February 1996

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

Full work available at URL: https://doi.org/10.1088/0305-4470/27/8/016

zbMATH Keywords

coadjoint representationsolvable complex Lie algebraAbelian nilradicalgeneralized Casimir invariants

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30)

Related Items (8)

On solvable Leibniz algebras whose nilradical is a direct sum of null-filiform algebras ⋮ A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras ⋮ Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements ⋮ Classification of solvable Lie algebras with a given nilradical by means of solvable extensions of its subalgebras ⋮ Invariants of contact Lie algebras ⋮ Residually solvable extensions of an infinite dimensional filiform Leibniz algebra ⋮ Some Remarks Concerning the Invariants of Rank One Solvable Real Lie Algebras ⋮ An extension based determinantal method to compute Casimir operators of Lie algebras

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