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Stability of Ecological Systems: A Theoretical Review. [PDF]
Phys RepChen C, Wang XW, Liu YY.
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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.
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Classification of Frobenius Lie algebras of dimension $\leq 6$
Publicationes Mathematicae Debrecen, 2007A 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, 2018The 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 +2 more
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Harmonic Analysis for 4-Dimensional Real Frobenius Lie Algebras
2019A 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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Principal derivations and codimension one ideals in contact and Frobenius Lie algebras
Communications in Algebra, 2019The 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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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 +1 more
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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 +1 more
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Applications of Artificial Intelligence and Machine Learning Algorithms to Crystallization
Chemical Reviews, 2022Christos Xiouras +2 more
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