Results 81 to 90 of about 8,355 (123)

ON CERTAIN HOMOGENEOUS COMPLEX MANIFOLDS. [PDF]

open access: yesProc Natl Acad Sci U S A, 1962
Griffiths PA.
europepmc   +1 more source

On Algebraic Lie Algebras. [PDF]

open access: yesProc Natl Acad Sci U S A, 1945
Chevalley C, Tuan HF.
europepmc   +1 more source

Controllability of Linear Systems on Low Dimensional Nilpotent and Solvable Lie Groups

Journal of Dynamical and Control Systems, 2014
This paper is devoted to the study of controllability of linear systems on solvable and nilpotent Lie groups. Some general results are stated and used to completely characterize the controllable systems on the nilpotent Heisenberg group and the solvable 2-dimensional affine group.
Philippe Jouan
exaly   +6 more sources

Isotropy of non-nilpotent Riemannian solvable Lie groups

Annals of Global Analysis and Geometry, 1996
Let \((G, g)\) be a solvable Lie group endowed with a left-invariant Riemannian metric. It is known that if \(G\) is unimodular and all roots of its Lie algebra \({\mathfrak k}\) are real, then its isometry group \(I(G, g)\) is isomorphic to the semidirect product \(GK\) of \(G\) and the isotropy group at the identity \(K\), this being isomorphic to ...
Ignacio Bajo
exaly   +4 more sources

Normal Subgroups, Nilpotent and Solvable Lie Groups

2012
In this chapter, we address structural aspects of Lie groups. Here an important issue is to see that for any closed normal subgroup N of a Lie group G, the quotient G/N carries a canonical Lie group structure, so that we may consider N and G/N as two pieces into which G decomposes. With this information, we then address the canonical factorization of a
Joachim Hilgert, Karl-Hermann Neeb
openaire   +2 more sources

SUBGROUPS OF FRACTIONAL DIMENSION IN NILPOTENT OR SOLVABLE LIE GROUPS

Mathematika, 2013
In [J. Reine Angew. Math. 221, 203--208 (1966; Zbl 0135.10202)], \textit{P. Erdős} and \textit{B. Volkmann} constructed measurable additive subgroups of \(\mathbb R\) of arbitrary dimension between zero and one. In this paper, the case of nilpotent Lie groups is investigated, endowed with a left invariant Riemannian metric.
N. Saxcé
openaire   +2 more sources

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