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Locally conformal symplectic structures on Lie algebras of type i and their solvmanifolds
(De Gruyter, 2019-05-01)
We study Lie algebras of type I, that is, a Lie algebra g where all the eigenvalues of the operator ad X are imaginary for all X g. We prove that the Morse-Novikov cohomology of a Lie algebra of type I is trivial for any ...
Jordan-Chevalley decomposition in lie algebras
(Canadian Mathematical Soc, 2019-06)
We prove that if is a solvable Lie algebra of matrices over a field of characteristic § and A∈s, then the semisimple and nilpotent summands of the Jordan-Chevalley decomposition of A belong to s if and only if there exist ...
On the theorem of the primitive element with applications to the representation theory of associative and Lie algebras
(Canadian Mathematical Soc, 2014-12)
We describe of all finite dimensional uniserial representations of a commutative associative (resp. abelian Lie) algebra over a perfect (resp. sufficiently large perfect) field. In the Lie case the size of the field ...
Automorphisms of non-singular nilpotent Lie algebras
(Heldermann Verlag, 2013-03)
For a real, non-singular, 2-step nilpotent Lie algebra n, the group Aut(n)/ Aut0(n), where Aut0(n) is the group of automorphisms which act trivially on the center, is the direct product of a compact group with the 1-dimensional ...
Notes on flat pseudo-Riemannian manifolds
(Pontificia Universidad Católica del Perú, 2019)
Controllability of linear systems on non-abelian compact lie groups
(Pontificia Universidad Católica del PerúPE, 2017)
There are no rigid filiform Lie algebras of low dimension
(Heldermann Verlag, 2019-01)
We prove that there are no rigid complex filiform Lie algebras in the variety of (filiform) Lie algebras of dimension less than or equal to 11. More precisely we show that in any Euclidean neighborhood of a filiform Lie ...
Free 2-step nilpotent Lie algebras and indecomposable representations
(Taylor & Francis, 2018-07)
Given an algebraically closed field F of characteristic 0 and an F-vector space V, let L(V) = V⊕Λ2(V) denote the free 2-step nilpotent Lie algebra associated to V. In this paper, we classify all uniserial representations ...
Cuantización y teorema de Poincaré-Birkhoff-Witt
(Pontificia Universidad Católica del PerúPE, 2017)
Examples of linear control systems on Lie groups
(Pontificia Universidad Católica del PerúPE, 2017)