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Meander Graphs and Frobenius Seaweed Lie Algebras III
Journal of Generalized Lie Theory and Applications, 2017 Vincent Coll +3 more
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Harmonic Analysis for Finite Dimensional Real Frobenius Lie Algebras
Harmonic Analysis for Finite Dimensional Real Frobenius Lie Algebrasopenaire
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Frobenius Relations for Associative Lie Nilpotent Algebras
Mathematical Notes, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergey Pchelintsev, Pchelintsev S V
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The Principal Element of a Frobenius Lie Algebra [PDF]
Letters in Mathematical Physics, 2009 We introduce the notion of the \textit{principal element} of a Frobenius Lie algebra $\f$. The principal element corresponds to a choice of $F\in \f^*$ such that $F[-,-]$ non-degenerate. In many natural instances, the principal element is shown to be semisimple, and when associated to $\sl_n$, its eigenvalues are integers and are independent of $F ...
Anthony Giaquinto +2 more
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Deforming lie algebras to frobenius integrable nonautonomous hamiltonian systems [PDF]
Reports on Mathematical Physics, 2021 Motivated by the theory of Painlevé equations and associated hierarchies, we study non-autonomous Hamiltonian systems that are Frobenius integrable. We establish sufficient conditions under which a given finite-dimensional Lie algebra of Hamiltonian vector fields can be deformed to a time-dependent Lie algebra of Frobenius integrable vector fields ...
Artur Sergyeyev +2 more
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Frobenius–Schur indicators for semisimple Lie algebras
Journal of Algebra, 2007 12 pages, to appear in Journal of ...
Shlomo Gelaki
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The Frobenius semiradical of a Lie algebra
Journal of Algebra, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lie algebras admitting a metacyclic frobenius group of automorphisms [PDF]
Siberian Mathematical Journal, 2013 19 pages, to appear in Siberian Mathematical Journal, Vol.54 (2013), No. 1.
Evgeny Khukhro, Khukhro E I
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The u-Algebra of a Restricted Lie Algebra is Frobenius [PDF]
Proceedings of the American Mathematical Society, 1964 exaly +3 more sources