Results 251 to 260 of about 168,726 (280)

Binary lie algebras of small dimensions

Algebra and Logic, 1998
We give a simple and shorter proof of the Gainov theorem in [1], which dealt with classifying non-Lie binary Lie algebras of dimension ≤4 over a field of characteristic ≠2. Concurrently, the case of characteristic 2 is treated, and we find out an exotic 4-dimensional non-Lie Mal'tsev algebra, which is a split extension of an irreducible 1-dimensional ...
openaire   +1 more source

On semitransitive Lie algebras of minimal dimension

Linear and Multilinear Algebra, 2013
AbstractLet be an -dimensional vector space over . Some structural results on Lie subalgebras of acting semitransitively and of minimal possible dimension are obtained.
Janez Bernik, Mitja Mastnak
openaire   +1 more source

Solvable Lie algebras of dimension six

Journal of Mathematical Physics, 1990
Six-dimensional solvable Lie algebras over the field of real numbers that possess nilradicals of dimension four are classified into equivalence classes. This completes Mubarakzyanov’s classification of the real six-dimensional solvable Lie algebras.
openaire   +1 more source

Complete commutative sets of polynomials for solvable Lie algebras of dimension six and nilpotent Lie algebras of dimension seven

Moscow University Mathematics Bulletin, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Invariants of solvable Lie algebras of dimension six

Journal of Physics A: Mathematical and General, 2000
The paper deals with indecomposable solvable and non-nilpotent Lie algebras \(L=N_{6}\) of dimension six over \(\mathbb{R}\), having a nilradical of dimension four. Let \(G\) be a connected Lie group such that \(L=L(G)\) is its Lie algebra. Denote by \(L^{*}\) the dual space of \(L\). A function \(F\in C^{\propto}(L^{*})\) is called an invariant of the
openaire   +2 more sources

Maximal Abelian Dimensions in Some Families of Nilpotent Lie Algebras

Algebras and Representation Theory, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benjumea, Juan C., Núñez, Juan, Tenorio, Ángel F.   +2 more
openaire   +1 more source

Algorithm to compute the maximal abelian dimension of Lie algebras

Computing, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ceballos, M., Núñez, J., Tenorio, A. F.   +2 more
openaire   +1 more source

Variational algorithms for linear algebra

Science Bulletin, 2021
Xiaosi Xu, Jinzhao Sun, Suguru Endo
exaly  

Bounds for the Dimensions of Certain Lie Algebras

Journal of the London Mathematical Society, 1971
openaire   +2 more sources

Computer algebra in gravity research

Living Reviews in Relativity, 2018
Malcolm A H Maccallum
exaly