Results 141 to 150 of about 57,089 (167)

LIE ALGEBRAS WITH AN ALGEBRAIC ADJOINT REPRESENTATION

Mathematics of the USSR-Sbornik, 1984
An algebra R over a field K satisfies the property P locally, if P holds for every finitely generated subalgebra of R. A famous result of A. I. Kostrikin claims that every Lie algebra G satisfying the Engel condition g(ad h)\({}^ n=0\) for any g,\(h\in G\), is locally nilpotent if char K\(=0\) or char K\(=p>n\).
E. I. Zel'manov
openaire   +2 more sources

On non self-adjoint representations of Lie algebras

Integral Equations and Operator Theory, 1983
We consider a method for constructing all non self-adjoint representations of a Lie algebra with the help of its irreducible representations. The method is based on imbedding of a representation in a more complicated object called a colligation. As an application we consider the case of two dimensional non-abelian Lie algebra.
exaly   +2 more sources

Invariants of the co-adjoint representation for Lie algebras of a special form

Russian Mathematical Surveys, 1996
An analytic function on the dual space of a Lie algebra is an invariant of the coadjoint representation provided that some conditions are fulfilled. This paper presents necessary and sufficient conditions.
D V Berzin
openaire   +2 more sources

Cohomology of graded lie algebras of maximal class with coefficients in the adjoint representation

Proceedings of the Steklov Institute of Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Millionshchikov
openaire   +2 more sources

A matrix Bernoulli equation in the adjoint matrix representation of simple three-dimensional Lie algebras

Russian Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +2 more sources

On the first Cartan extensions of the adjoint representation of a simple Lie algebra

Russian Mathematical Surveys, 1982
Ya S Krylyuk
semanticscholar   +4 more sources

The kernel of the adjoint representation of a p-adic Lie group need not have an abelian open normal subgroup

, 2014
Let G be a p-adic Lie group and Ad be the adjoint representation of G on its Lie algebra. It was claimed in the literature that the kernel K of Ad always has an abelian open normal subgroup.
Helge Glockner
semanticscholar   +2 more sources

The Adjoint Representation of a Lie Group

, 1993
A. Schwarz
semanticscholar   +1 more source

Dynamical Soliton Wave Structures of One-Dimensional Lie Subalgebras via Group-Invariant Solutions of a Higher-Dimensional Soliton Equation with Various Applications in Ocean Physics and Mechatronics Engineering

Communication on Applied Mathematics and Computation, 2022
Oke Davies Adeyemo, C. M. Khalique
semanticscholar   +1 more source

Invariant analysis, optimal system of Lie sub-algebra and conservation laws of (3+1)-dimensional KdV–BBM equation

The European Physical Journal Plus, 2020
Vinita, S. Saha Ray
semanticscholar   +1 more source