Results 71 to 80 of about 102 (87)
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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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Computing invariants and semi-invariants by means of Frobenius Lie algebras
Journal of Algebra, 2009 Let U(L) be the enveloping algebra of a finite dimensional Lie algebra L over a field k of characteristic zero, Z(U(L)) its center and Sz(U(L)) its semicenter. A sufficient condition is given in order for Sz(U(L)) to be a polynomial algebra over k. Surprisingly, this condition holds for many Lie algebras, especially among those for which the radical is
Alfons Ooms
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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...
Maria Alejandra Alvarez, Gil Salgado
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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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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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2018
In this paper, we established the relationship among left-invariant flat connections on Lie groups, left-symmetric algebras, Frobenius Lie algebras and étale prehomogeneous vector spaces, gave a one-to-one correspondence between the left-symmetric Lie algebras with a right identity and the étale prehomogeneous vector spaces for a Lie group, and proved ...
Yang, Xiaomei, Zhu, Fuhai
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In this paper, we established the relationship among left-invariant flat connections on Lie groups, left-symmetric algebras, Frobenius Lie algebras and étale prehomogeneous vector spaces, gave a one-to-one correspondence between the left-symmetric Lie algebras with a right identity and the étale prehomogeneous vector spaces for a Lie group, and proved ...
Yang, Xiaomei, Zhu, Fuhai
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Left-symmetric algebra structures on contact Lie algebras
Communications in Algebra, 2023Gil Salgado +1 more
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On Frobenius functionals of the Lie algebra M3(ℝ) ⊕ gl3(ℝ)
Journal of Physics: Conference Series, 2021exaly
The Frobenius–Virasoro algebra and Euler equations
Journal of Geometry and Physics, 2014Dafeng Zuo
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