Results 21 to 30 of about 751 (85)
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
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
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
Outer restricted derivations of nilpotent restricted Lie algebras [PDF]
, 2011 In this paper we prove that every finite-dimensional nilpotent restricted Lie algebra over a field of prime characteristic has an outer restricted derivation whose square is zero unless the restricted Lie algebra is a torus or it is one-dimensional or it
Feldvoss, Jörg +2 more
core +3 more sources
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 +2 more
doaj +1 more source
Vogan diagrams of affine twisted Lie superalgebras
, 2013 A Vogan diagram is a Dynkin diagram with a Cartan involution of twisted affine superlagebras based on maximally compact Cartan subalgebras. This article construct the Vogan diagrams of twisted affine superalgebras.
Ransingh, Biswajit
core +1 more source
Lie algebras of symplectic derivations and cycles on the moduli spaces [PDF]
, 2008 We consider the Lie algebra consisting of all derivations on the free associative algebra, generated by the first homology group of a closed oriented surface, which kill the symplectic class.
Morita, Shigeyuki
core +3 more sources
Lie algebras simple with respect to a Taft algebra action
, 2018 We classify finite dimensional $H_{m^2}(\zeta)$-simple $H_{m^2}(\zeta)$-module Lie algebras $L$ over an algebraically closed field of characteristic $0$ where $H_{m^2}(\zeta)$ is the $m$th Taft algebra.
Gordienko, Alexey
core +1 more source
Local automorphisms of finite dimensional simple Lie algebras
, 2018 Let ${\mathfrak g}$ be a finite dimensional simple Lie algebra over an algebraically closed field $K$ of characteristic $0$. A linear map $\varphi:{\mathfrak g}\to {\mathfrak g}$ is called a local automorphism if for every $x$ in ${\mathfrak g}$ there is
Costantini, Mauro
core +1 more source