Results 71 to 80 of about 173,393,737 (138)

Killing Vector Fields of Invariant Metrics on Five-Dimensional Solvable Lie Groups

Mathematics
In this paper we study the existence of Killing vector fields for right-invariant metrics on five-dimensional Lie groups. We begin by providing some explanation of the classification lists of the low-dimensional Lie algebras.
Gerard Thompson
doaj   +1 more source

Solvable Lie A-algebras. [PDF]

, 2011
A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpotent subalgebras are abelian. This is analogous to the concept of an $A$-group: a finite group with the property that all of its Sylow subgroups are abelian.
Towers, David A.
core   +2 more sources

Solving Quantum Dynamics with a Lie-Algebra Decoupling Method

PRX Quantum
Quantum technologies rely on the control of quantum systems at the level of individual quanta. Mathematically, this control is described by Hamiltonian or Liouvillian evolution, requiring the application of various techniques to solve the resulting ...
Sofia Qvarfort, Igor Pikovski
doaj   +1 more source

THE EXPLICIT FORMULAS OF PARAMETRIZATION OF COADJOINT ORBITS OF THE HEISENBERG LIE GROUP

Barekeng
This research focuses on the Heisenberg Lie group. The aim is to determine the coadjoint orbits and their parametrizations. The method used in this research involves constructing the parametrization of coadjoint orbit for Heisenberg Lie group ...
Muhammad Zaky Zachary, Edi Kurniadi, Sisilia Sylviani   +2 more
doaj   +1 more source

On the structure of one-generated Leibniz rings

Researches in Mathematics
The paper is devoted to the study of one-generated Leibniz rings. We begin with a short discussion of the relation between Lie rings, Lie algebras, Leibniz algebras, and Leibniz rings, and recall the basic notions needed in the sequel.
L.A. Kurdachenko, P.Ye. Minaiev, O.O. Pypka   +2 more
doaj   +1 more source

Quantization and irreducible representations of infinite-dimensional transformation groups and Lie algebras

Electronic Journal of Differential Equations, 2000
We present an analytic version of a theorem of Burnside and apply it to the study of irreducible representations of doubly-transitive groups and Lie algebras. Application to the Dirac quantization problem is given.
Paul R. Chernoff
doaj  

Magnus series expansion method for solving nonhomogeneous stiff systems of ordinary differential equations

Kuwait Journal of Science, 2015
In this paper, Magnus Series Expansion Method which is based on Lie Groups and Lie algebras is proposed with different orders to solve nonhomogeneous stiff systems of ordinary differential equations.
Mehmet T. Atay, Aytekin Eryılmaz, Sure Köme   +2 more
doaj  

On Lie algebras all of whose minimal subalgebras are lower modular. [PDF]

, 2004
The main purpose of this paper is to study Lie algebras L such that if a subalgebra U of L has a maximal subalgebra of dimension one then every maximal subalgebra of U has dimension one. Such an L is called lm(0)-algebra.
Bowman, Kevin, Varea, Vicente R., Towers, David A.   +2 more
core  

The Virasoro Algebra and Some Exceptional Lie and Finite Groups

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras.
Michael P. Tuite
doaj  

Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]

J Geom Anal, 2023
Le Donne E, Morbidelli D, Rigot S.
europepmc   +1 more source