Results 11 to 20 of about 506,256 (252)

Lie triple derivation and Lie bi-derivation on quaternion rings [PDF]

Miskolc Mathematical Notes
In this study, we prove the existence of the central Lie bi-derivation for the ring with identity on the quaternion ring. We also describe the triple Lie derivation using the Jordan derivation on the aforementioned ring.
Mohd Arif Raza, Aisha Jabeen, Tahani Al-Sobhi   +2 more
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Local derivation on the Schro¨dinger Lie algebra in (n+1)-dimensional space-time

Қарағанды университетінің хабаршысы. Математика сериясы
This paper investigates local derivations on the Schro¨dinger Lie algebra sn, the Lie algebra of the (n+1)dimensional space-time Schro¨dinger group. As a finite-dimensional Lie algebra that is neither semisimple nor solvable, the Schr¨odinger algebra ...
A.K. Alauadinov, B.B. Yusupov
doaj   +2 more sources

3-Lie Superalgebras Induced by Lie Superalgebras

Axioms, 2019
We show that given a Lie superalgebra and an element of its dual space, one can construct the 3-Lie superalgebra. We apply this approach to Lie superalgebra of ( m , n ) -block matrices taking a supertrace of a matrix as the element of dual space.
Viktor Abramov
doaj   +2 more sources

Lie-central derivations, Lie-centroids and Lie-stem Leibniz algebras [PDF]

, 2020
In this paper, we introduce the notion of a Lie-derivation. This concept generalizes derivations for non-Lie Leibniz algebras. We study these Lie-derivations in the case where their image is contained in the Lie-center, and call them Lie-central ...
Rego, Natália Pacheco, Casas, José Manuel, Biyogmam, Guy Roger   +2 more
core   +1 more source

Cohomologies and generalized derivation extensions of n-Lie algebras

, 2021
A cohomology theory, associated to a n-Lie algebra and a representation space of it, is introduced. It is observed that this cohomology theory is qualified to encode the generalized derivation extensions, and that it coincides, for n = 3, with the known ...
Sütlü, Serkan, Ateşli, Begüm, Esen, Oğul   +2 more
core   +1 more source

Lie algebras whose derivation algebras are simple [PDF]

It is well known that a finite-dimensional Lie algebra over a field of characteristic zero is simple exactly when its derivation algebra is simple. In this paper we characterize those Lie algebras of arbitrary dimension over any field that have a simple ...
Feldvoss, Jörg, Siciliano, Salvatore
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Lie-Derivations of Three-Dimensional Non-Lie Leibniz Algebras [PDF]

, 2021
The concept of Lie-derivation was recently introduced as a generalization of the notion of derivations for non-Lie Leibniz algebras. In this project, we determine the Lie algebras of Lie-derivations of all three-dimensional non-Lie Leibniz algebras. As a
Belanger, Emily H
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SOLVABLE EXTENSIONS OF A SPECIAL CLASS OF NILPOTENT LIE ALGEBRAS [PDF]

, 2006
summary:It is already known that any filiform Lie algebra which possesses a codimension 2 solvable extension is naturally graded.
Campoamor Stursberg, Otto-Rudwig, L Garcia Vergnolle, Thompson, G., Šnobl, Libor, Shabanskaya, A., R Campoamor-Stursberg, G. Thompson, J M Ancochea, Ancochea Bermúdez, José María, A. Shabanskaya, Vergnolle, L. G.   +10 more
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Generalized derivations of Lie triple systems

Open Mathematics, 2016
In this paper, we present some basic properties concerning the derivation algebra Der (T), the quasiderivation algebra QDer (T) and the generalized derivation algebra GDer (T) of a Lie triple system T, with the relationship Der (T) ⊆ QDer (T) ⊆ GDer (T) ⊆
Zhou Jia, Chen Liangyun, Ma Yao
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Derivation rings of Lie rings

, 2017
We establish some connections between Lie rings, their derivation rings and generalized derivations rings.
Orest D. Artemovych
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