Results 101 to 110 of about 538,257 (210)

A Family of Complex Nilmanifolds with in finitely Many Real Homotopy Types

Complex Manifolds, 2018
We find a one-parameter family of non-isomorphic nilpotent Lie algebras ga, with a > [0,∞), of real dimension eight with (strongly non-nilpotent) complex structures.
Latorre Adela, Ugarte Luis, Villacampa Raquel   +2 more
doaj   +1 more source

Properties of Special Superderivation Algebras

Journal of Harbin University of Science and Technology
The classifications of Lie superalgebras and special superderivation subalgebras have always been the focus of theoretical research on Lie superalgebras.
YIN Mingren, WANG Shujuan, LIU Wende
doaj   +1 more source

Nilpotency and capability in multiplicative Lie algebras

Communications in Algebra
This paper aims to introduce the concept of nilpotency and capability in multiplicative Lie algebras. Also, we see the existence of covers of a multiplicative Lie algebra and thoroughly examine their relationships with capable and perfect multiplicative Lie algebras.
Kumar, Amit, Pandey, Mani Shankar, Upadhyay, Sumit Kumar   +2 more
openaire   +2 more sources

On Properties and Classification of a Class of 4-Dimensional 3-Hom-Lie Algebras with a Nilpotent Twisting Map

Axioms
The aim of this work is to investigate the properties and classification of an interesting class of 4-dimensional 3-Hom-Lie algebras with a nilpotent twisting map α and eight structure constants as parameters. Derived series and central descending series
Abdennour Kitouni, Sergei Silvestrov
doaj   +1 more source

Nilpotency of the Ordinary Lie-algebra of an n-Lie Algebra

, 2017
In this paper, we generalize to n-Lie algebras a corollary of the well-known Engel's theorem which offers some justification for the terminology "nilpotent" and we construct a nilpotent ordinary Lie algebra from a nilpotent n-Lie algebra.
Come Chancel Likouka
core   +1 more source

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

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

A characteristically nilpotent Lie algebra can be a derived algebra

, 1976
An example is constructed of a Lie algebra whose derived algebra has only nilpotent derivations, thus answering a question of Dixmier and Lister.
Eugene M. Luks
core   +1 more source

On action of outer derivations on nilpotent ideals of Lie algebras [PDF]

, 2009
Action of outer derivations on nilpotent ideals of Lie algebras are considered. It is shown that for a nilpotent ideal I of a Lie algebra L over a field F the ideal I+D(I) is nilpotent, provided that charF=0 or I nilpotent of nilpotency class less than
Maksimenko, D.V.
core   +1 more source

Automorphisms of the Nilpotent Subalgebra $ N \Phi (K) $ Chevalley Algebra of Symplectic Type

Известия Иркутского государственного университета: Серия "Математика", 2015
We study automorphisms of the nilpotent subalgebra $ N \Phi (K) $ of the Chevalley algebra associated with a root system $\Phi$ over associative commutative ring $ K $ with the identity. In the present paper the automorphism group $Aut \ (N\Phi(K))$ is
A.V. Litavrin
doaj  

Nil-equivariant tropological sigma models on filtered geometries

Journal of High Energy Physics
We investigate the behavior of tropological (tropical topological) sigma models on higher dimensional target spaces and show that higher dimensional spaces explicitly admit nested Maslov dequantizations which lead to nontrivial anisotropic filtration ...
Emil Albrychiewicz, Andrés Franco Valiente, Christopher Stites   +2 more
doaj   +1 more source