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• W3100509495 abstract "The indecomposable solvable Lie algebras with graded nilradical of maximal nilindex and a Heisenberg subalgebra of codimension one are analyzed, and their generalized Casimir invariants calculated. It is shown that rank one solvable algebras have a contact form, which implies the existence of an associated dynamical system. Moreover, due to the structure of the quadratic Casimir operator of the nilradical, these algebras contain a maximal non-abelian quasi-classical Lie algebra of dimension $2n-1$, indicating that gauge theories (with ghosts) are possible on these subalgebras." @default.
• W3100509495 created "2020-11-23" @default.
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• W3100509495 date "2006-01-24" @default.
• W3100509495 modified "2023-10-05" @default.
• W3100509495 title "Solvable Lie algebras with naturally graded nilradicals and their invariants" @default.
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• W3100509495 doi "https://doi.org/10.1088/0305-4470/39/6/008" @default.
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