Results 91 to 100 of about 1,969,963 (254)

The minimal orbit in a simple Lie algebra and its associated maximal ideal

, 1976
. — Let 9 be a simple Lie algebra over C. If 9 is different from sl(n + 1) : n = 1, 2, ..., then g* admits a single non-trivial G-orbit (Po of minimal dimension.
Scientifiques DE L’É.N.S, A. Joseph, By Joseph   +2 more
semanticscholar   +1 more source

Isomorphism of Intransitive Linear Lie Equations

Symmetry, Integrability and Geometry: Methods and Applications, 2009
We show that formal isomorphism of intransitive linear Lie equations along transversal to the orbits can be extended to neighborhoods of these transversal. In analytic cases, the word formal is dropped from theorems.
Jose Miguel Martins Veloso
doaj   +1 more source

Continuous family of finite-dimensional representations of a solvable Lie algebra arising from singularities.

Proceedings of the National Academy of Sciences of the United States of America, 1983
A natural mapping from the set of complex analytic isolated hypersurface singularities to the set of finite dimensional Lie algebras is first defined. It is proven that the image under this natural mapping is contained in the set of solvable Lie algebras.
Stephen S.-T. Yau
semanticscholar   +1 more source

The Lie Algebra Structure of Nonlinear Evolution Equations Admitting Infinite Dimensional Abelian Symmetry Groups

, 1981
Hereditary operators in Lie algebras are investigated. These are operators which are characterized by a special algebraic equation and their main property is that they generate abelian subalgebras of the given Lie algebra.
B. Fuchssteiner
semanticscholar   +1 more source

Note on algebraic Lie algebras [PDF]

Proceedings of the American Mathematical Society, 1971
It is shown that, over an algebraically closed field of characteristic 0, the isomorphism classes of algebraic Lie algebras are in bijective correspondence with the isomorphism classes of affine algebraic groups with unipotent centers. A Lie algebra is said to be algebraic if it is isomorphic with the Lie algebra of an affine algebraic group.
openaire   +2 more sources

SEMIPRIME AND NILPOTENT FUZZY LIE ALGEBRAS

Journal of New Theory, 2016
– In this paper, we have introduced the concept of semiprime fuzzy Lie algebra and proved that every fuzzy Lie algebra of semiprime (nilpotent) Lie algebra is a semiprime (nilpotent)
Nour Alhouda Alhayek, Samer Sukkary
doaj  

On the Projective Algebra of Randers Metrics of Constant Flag Curvature

Symmetry, Integrability and Geometry: Methods and Applications, 2011
The collection of all projective vector fields on a Finsler space (M,F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M,F) and is the Lie algebra of the projective group P(M,F).
Mehdi Rafie-Rad, Bahman Rezaei
doaj   +1 more source

The Centroid of a Lie Triple Algebra

Abstract and Applied Analysis, 2013
General results on the centroids of Lie triple algebras are developed. Centroids of the tensor product of a Lie triple algebra and a unitary commutative associative algebra are studied.
Xiaohong Liu, Liangyun Chen
doaj   +1 more source

A nilpotent Lie algebra with nilpotent automorphism group

, 1970
Recent work of Stein, Knapp, Koranyi and others has been concerned with nilpotent Lie groups which admit expanding automorphisms, that is, semisimple automorphisms whose eigenvalues are all greater than one in absolute value (cf. [ l ] , [3], [S]).
J. Dyer
semanticscholar   +1 more source

On derivations of linear algebras of a special type

Дифференциальная геометрия многообразий фигур
In this work, Lie algebras of differentiation of linear algebra, the op­eration of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov , O. A. Monakhova, O. V. Bolotnikova   +2 more
doaj   +1 more source