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Stability of Ecological Systems: A Theoretical Review. [PDF]

Phys Rep
Chen C, Wang XW, Liu YY.
europepmc   +1 more source

Harmonic Analysis for Finite Dimensional Real Frobenius Lie Algebras

Harmonic Analysis for Finite Dimensional Real Frobenius Lie Algebras
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Principal derivations and codimension one ideals in contact and Frobenius Lie algebras

Communications in Algebra, 2019
The aim of this work is twofold. First, we give an inductive procedure to construct a Frobenius (resp. contact) Lie algebra from a contact (resp. Frobenius) Lie algebra.
T. Barajas, E. Roque, G. Salgado
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Frobenius Relations for Associative Lie Nilpotent Algebras

Mathematical Notes, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Classification of Frobenius Lie algebras of dimension $\leq 6$

Publicationes Mathematicae Debrecen, 2007
A Lie algebra \(\mathfrak{g}\) is called a Frobenius Lie algebra provided that there is a linear form \(l\in \mathfrak{g}^*\) whose stabilizer with respect to the coadjoint representation of \(\mathfrak{g}\) is trivial. Frobenius Lie algebras are always even dimensional.
Csikós, Balázs, Verhóczki, László
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Contact and Frobenius solvable Lie algebras with abelian nilradical

Communications in Algebra, 2018
The aim of this work is to characterize the families of Frobenius (respectively, contact) solvable Lie algebras that satisfies the following condition: 𝔤 = 𝔥⋉V, where 𝔥⊂𝔤𝔩(V), |dim V−dim 𝔤|≤1 and N...
M. A. Alvarez, M. C. Rodríguez-Vallarte, G. Salgado   +2 more
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Harmonic Analysis for 4-Dimensional Real Frobenius Lie Algebras

2019
A real Frobenius Lie algebra is characterized as the Lie algebra of a real Lie group admitting open coadjoint orbits. In this paper, we study irreducible unitary representations corresponding to open coadjoint orbits for each of 4-dimensional Frobenius Lie algebras.
Edi Kurniadi, Hideyuki Ishi
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On first integrals of linear systems, Frobenius integrability theorem and linear representations of Lie algebras

1990
A necessary condition to be satisfied by n−1 vector fields in ℝ n in order to have a common first integral is supplied by the compatibility condition of Frobenius integrability theorem. This condition is also generically sufficient for the local existence of such a common first integral.
Jean Moulin Ollagnier, Jean-Marie Strelcyn   +1 more
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Frobenius Lie algebras

Functional Analysis and Its Applications, 1983
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