Results 31 to 40 of about 538,257 (210)

k-step nilpotent Lie algebras [PDF]

Georgian Mathematical Journal, 2015
Abstract The classification of complex or real finite dimensional Lie algebras which are not semi simple is still in its early stages. For example, the nilpotent Lie algebras are classified only up to dimension 7. Moreover, to recognize a given Lie algebra in the classification list is not so easy.
Goze, Michel, Remm, Elisabeth
openaire   +2 more sources

Applications of Lie methods to computations with polycyclic groups [PDF]

, 2008
In this thesis we demonstrate the algorithmic usefulness of the so-called Mal'cev correspondence for computations with infinite polycyclic groups.
Assmann, Björn
core   +2 more sources

Further results on q-Lie groups, q-Lie algebras and q-homogeneous spaces

Special Matrices, 2021
We introduce most of the concepts for q-Lie algebras in a way independent of the base field K. Again it turns out that we can keep the same Lie algebra with a small modification.
Ernst Thomas
doaj   +1 more source

On Equality of Certain Derivations of Lie Algebras

Discussiones Mathematicae - General Algebra and Applications, 2019
Let L be a Lie algebra. A derivation α of L is a commuting derivation (central derivation), if α (x) ∈ CL (x) (α (x) ∈ Z (L)) for each x ∈ L. We denote the set of all commuting derivations (central derivations) by 𝒟 (L) (Derz (L)).
Amiri Azita, Saeedi Farshid, Alemi Mohammad Reza   +2 more
doaj   +1 more source

$7$-dimensional nilpotent Lie algebras [PDF]

Transactions of the American Mathematical Society, 1993
All 7-dimensional complex nilpotent Lie algebras are determined. The algebras are listed in tables, categorized by the dimensions of the terms in the upper central series. In each such category, the algebras are listed as decomposable or indecomposable and for those algebras in the latter, distinguishing features are provided.
openaire   +2 more sources

An overview of free nilpotent Lie algebras [PDF]

, 2011
summary:Any nilpotent Lie algebra is a quotient of a free nilpotent Lie algebra of the same nilindex and type. In this paper we review some nice features of the class of free nilpotent Lie algebras.
de-la-Concepción, Daniel, Benito, P. [0000-0001-8122-6359], Benito, Pilar, De-La-Concepción, D., R. Campoamor-Stursberg, Campoamor Stursberg, Otto-Rudwig, García Vergnolle, Lucía, L. García Vergnolle, J.M. Ancochea Bermúdez, Ancochea Bermúdez, José María   +9 more
core   +1 more source

CAPABILITY OF LOW-DIMENSIONAL NILPOTENT 3-LIE ALGEBRAS [PDF]

Journal of Algebraic Systems
In this paper, we characterize the capability of nilpotent n- Lie algebras of dimensionat most n + 3 over an arbitrary field when n > 2$ and the capability of 7 -dimensional nilpotent 3 -Lie algebras over field $\mathcal {K} $ with $char \mathcal {K}\ ne
Hamid Darabi
doaj   +1 more source

Computational Experiments with Nilpotent Lie Algebras

Mathematical Notes, 2020
In this note we present some experimental results on the general matrix nilpotent Lie algebras derived by calculations on a ...
openaire   +3 more sources

Subregular representations of Sln and simple singularities of type An-1. Part II [PDF]

, 2003
The aim of this paper is to show that the structures on K-theory used to formulate Lusztig's conjecture for subregular nilpotent sln-representations are, in fact, natural in the McKay correspondence.
Rumynin, D., Iain Gordon, Dmitriy Rumynin, Gordon, I. (Iain), Rumynin, Dmitriy, Gordon, I.   +5 more
core   +1 more source

Purely Coclosed G2‐Structures on Nilmanifolds—II

Mathematische Nachrichten, EarlyView.
ABSTRACT This paper completes the classification of seven‐dimensional nilpotent Lie groups endowed with a left‐invariant purely coclosed G2$\text{G}_2$‐structure, initiated in Bazzoni et al. [Mathematische Nachrichten 296 no. 6 (2023): 2236–2257], the authors provided the classification of decomposable seven‐dimensional nilpotent Lie groups and of the ...
Giovanni Bazzoni, Giorgia Petracci
wiley   +1 more source