Results 11 to 20 of about 70 (42)

On quantum and classical Poisson algebras [PDF]

, 2005
Results on derivations and automorphisms of some quantum and classical Poisson algebras, as well as characterizations of manifolds by the Lie structure of such algebras, are revisited and extended.
J. Grabowski, N. Poncin
semanticscholar   +1 more source

AUTOMORPHISMS OF ELLIPTIC POISSON ALGEBRAS [PDF]

, 2008
. We describe the automorphism groups of elliptic Poisson algebras on poly-nomial algebras in three variables and give an explicit set of generators and definingrelations for this group.
L. Makar-Limanov, U. Turusbekova, U. Umirbaev   +2 more
semanticscholar   +1 more source

Biderivations of the higher rank Witt algebra without anti-symmetric condition

Open Mathematics, 2018
The Witt algebra 𝔚d of rank d(≥ 1) is the derivation algebra of Laurent polynomial algebras in d commuting variables. In this paper, all biderivations of 𝔚d without anti-symmetric condition are determined. As an applications, commutative post-Lie algebra
Tang Xiaomin, Yang Yu
doaj   +1 more source

Stability and superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras: a fixed point approach

Fixed Point Theory and Applications, 2012
Using fixed point method, we prove the Hyers-Ulam stability and the superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras.
Choonkill Park, M. Gordji, Y. Cho
semanticscholar   +1 more source

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
doaj   +1 more source

On the derivation algebra of the free Lie algebra and trace maps [PDF]

, 2010
We mainly study the derivation algebra of the free Lie algebra and the Chen Lie algebra generated by the abelianization H of a free group, and trace maps.
Naoya Enomoto, T. Satoh
semanticscholar   +1 more source

Superderivation of the hyperbolic subalgebra for pl(m,n,R)

, 2014
Let R be an arbitrary commutative ring with 1, 1/2 ∈ R, pl(m,n,R) the general linear Lie superalgebra over R. The aim of this paper is to give an explicit description of the superderivation algebras of the hyperbolic subalgebra of pl(m,n,R).
Hailing Li, Haijian Cui, Ying Wang
semanticscholar   +1 more source

PRIMITIVE ELEMENTS AND PREIMAGE OF PRIMITIVE SETS OF FREE LIE ALGEBRAS

, 2014
Let F and L be free Lie algebras of finite rank n andm respectively and φ be a homomorphism from F to L. We prove that the preimage of a primitive set of L contains a primitive set of F .
D. Ersalan, Zerrin Esmerligil
semanticscholar   +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

Poisson C*-algebra derivations in Poisson C*-algebras

Demonstratio Mathematica
In this study, we introduce the following additive functional equation:g(λu+v+2y)=λg(u)+g(v)+2g(y)g\left(\lambda u+v+2y)=\lambda g\left(u)+g\left(v)+2g(y) for all λ∈C\lambda \in {\mathbb{C}}, all unitary elements u,vu,v in a unital Poisson C*{C ...
Wang Yongqiao, Park Choonkil, Chang Yuan
doaj   +1 more source