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Solvable Lie A-algebras

open access: yesJournal of Algebra, 2011
A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpotent subalgebras are abelian. This is analogous to the concept of an $A$-group: a finite group with the property that all of its Sylow subgroups are abelian. These groups were first studied in the 1940s by Philip Hall, and are still studied today.
openaire   +3 more sources

Efficient Parallel Transport in the Group of Diffeomorphisms via Reduction to the Lie Algebra. [PDF]

open access: yesGraphs Biomed Image Anal Comput Anat Imaging Genet (2017), 2017
Campbell KM, Fletcher PT.
europepmc   +1 more source

$\omega$-Lie algebras

open access: yes, 2008
Comment: v3: minor corrections in ...
openaire   +2 more sources

Controllability of affine control systems on graded Lie groups

open access: yesKuwait Journal of Science, 2015
This paper is concerned with an affine control system on a manifold which is equivalentby diffeomorphism to an invariant system on a free nilpotent Lie group, if and only if,the vector fields of the system generate graded Lie algebra and the vector ...
MEMET KULE
doaj  

Canonicalizing Zeta Generators: Genus Zero and Genus One. [PDF]

open access: yesCommun Math Phys
Dorigoni D   +7 more
europepmc   +1 more source

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