Results 41 to 50 of about 173,393,737 (138)

Algebras of Complete Hörmander Vector Fields, and Lie-Group Construction

Bruno Pini Mathematical Analysis Seminar, 2014
The aim of this note is to characterize the Lie algebras g of the analytic vector fields in RN which coincide with the Lie algebras of the (analytic) Lie groups defined on RN (with its usual differentiable structure). We show that such a characterization
Andrea Bonfiglioli
doaj   +1 more source

The Recursive Forward Dynamics of Flexible Mechanical Systems

MATEC Web of Conferences, 2016
Lie groups and Lie algebras are used to study the recursive dynamics of flexible multi-body systems. First the adjoint transformations and adjoint operators of Lie groups and Lie algebras are discussed.
Shao Bing, Yuan Entao
doaj   +1 more source

Invariant cones in solvable Lie algebras [PDF]

, 1992
Poguntke D. Invariant cones in solvable Lie algebras. Mathematische Zeitschrift.
Poguntke, Detlev
core   +1 more source

Generalisation of affine Lie algebras on compact real manifolds

SciPost Physics Proceedings, 2023
We report on recent work concerning a new type of generalised Kac-Moody algebras based on the spaces of differentiable mappings from compact manifolds or homogeneous spaces onto compact Lie groups.
Rutwig Campoamor-Stursberg, Marc de Montigny, Michel Rausch de Traubenberg
doaj   +1 more source

Matrix Representation for Decomposable Solvable Six-Dimensional Lie Algebra

مجلة التربية والعلم
This paper extends the classification of three-dimensional connected topological proper loops , for which the multiplication group  is a six-dimensional decomposable solvable Lie group.
Ameer Al-Abayechi
doaj   +1 more source

Fixed Points of Local Actions of Lie Groups on Real and Complex 2-Manifolds

Axioms, 2015
I discuss old and new results on fixed points of local actions by Lie groups G on real and complex 2-manifolds, and zero sets of Lie algebras of vector fields. Results of E. Lima, J. Plante and C. Bonatti are reviewed.
Morris W. Hirsch
doaj   +1 more source

Two Generator Subalgebras Of Lie Algebras. [PDF]

, 2007
In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup is solvable (Corollary 2, p. 388). Recently, Grunevald et al.
Bowman, Kevin, Varea, Vicente R., Towers, David A.   +2 more
core   +2 more sources

On nondegenerate orbits of 7-dimensional Lie algebras containing a 3-dimensional Abelian ideal

Современная математика: Фундаментальные направления
This paper is related to the problem of describing homogeneous real hypersurfaces of multidimensional complex spaces as orbits of the action of Lie groups and algebras in these spaces.
A. V. Atanov, A. V. Loboda
doaj   +1 more source

Solvable complemented Lie algebras. [PDF]

, 2012
In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
core   +3 more sources

On Poisson (2-3)-algebras which are finite-dimensional over the center

Researches in Mathematics
One of the classic results of group theory is the so-called Schur theorem. It states that if the central factor-group $G/\zeta(G)$ of a group $G$ is finite, then its derived subgroup $[G,G]$ is also finite.
P.Ye. Minaiev, O.O. Pypka, I.V. Shyshenko   +2 more
doaj   +1 more source