Results 11 to 20 of about 39,739 (245)
$C^*$-dynamical systems of solvable Lie groups [PDF]
Transformation Groups, 2017 In this paper we develop a groupoid approach to some basic topological properties of dual spaces of solvable Lie groups using suitable dynamical systems related to the coadjoint action.
Beltita, Daniel, Beltita, Ingrid
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On the Construction of Simply Connected Solvable Lie Groups
Journal of Lie Theory, 2015 Let $\omega_\mathfrak{g}$ be a Lie algebra valued differential $1$-form on a manifold $M$ satisfying the structure equations $d \omega_\mathfrak{g} + \frac{1}{2} \omega_\mathfrak{g}\wedge \omega_\mathfrak{g}=0$ where $\mathfrak{g}$ is solvable.
Fels, Mark E.
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Further results on q-Lie groups, q-Lie algebras and q-homogeneous spaces
Special Matrices, 2021 We introduce most of the concepts for q-Lie algebras in a way independent of the base field K. Again it turns out that we can keep the same Lie algebra with a small modification.
Ernst Thomas
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Cyclic metric Lie groups [PDF]
, 2013 Cyclic metric Lie groups are Lie groups equipped with a left-invariant metric which is in some way far from being biinvariant, in a sense made explicit in terms of Tricerri and Vanhecke's homogeneous structures.
Gadea, P. M. +2 more
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Remarks on homogeneous solitons of the $\protect \mathrm{G}_{2}$-Laplacian flow
Comptes Rendus. Mathématique, 2020 We show the existence of expanding solitons of the $\mathrm{G}_2$-Laplacian flow on non-solvable Lie groups, and we give the first example of a steady soliton that is not an extremally Ricci pinched $\mathrm{G}_2$-structure.
Fino, Anna, Raffero, Alberto
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Split abelian chief factors and first degree cohomology for Lie algebras [PDF]
, 2013 In this paper we investigate the relation between the multiplicities of split abelian chief factors of finite-dimensional Lie algebras and first degree cohomology.
Feldvoss, Jörg +2 more
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Closed G$_2$-structures on non-solvable Lie groups [PDF]
, 2019 We investigate the existence of left-invariant closed G$_2$-structures on seven-dimensional non-solvable Lie groups, providing the first examples of this type. When the Lie algebra has trivial Levi decomposition, we show that such a structure exists only
Fino, Anna, Raffero, Alberto
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Quantization and projective representations of solvable Lie groups [PDF]
Transactions of the American Mathematical Society, 1978 Kostant’s quantization procedure is applied for constructing irreducible projective representations of a solvable Lie group from symplectic homogeneous spaces on which the group acts. When specialized to a certain class of such groups, including the exponential ones, the technique exposed in the present paper provides a complete parametrization of all ...
Moscovici, Henri, Verona, Andrej
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Solvable Lie Algebras, Lie Groups and Polynomial Structures [PDF]
Compositio Mathematica, 2000 In this paper, we study polynomial structures by starting on the Lie algebra level, then passing to Lie groups to finally arrive at the polycyclic-by-finite group level. To be more precise, we first show how a general solvable Lie algebra can be decomposed into a sum of two nilpotent subalgebras.
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Controllability of Linear Systems on Solvable Lie Groups [PDF]
SIAM Journal on Control and Optimization, 2016 Linear systems on Lie groups are a natural generalization of linear system on Euclidian spaces. For such systems, this paper studies controllability by taking in consideration the eigenvalues of an associated derivation D. When the state space is a solvable connected Lie group, controllability of the systems is guaranteed if the reachable set of the ...
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