Results 11 to 20 of about 44 (42)

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

Outer endomorphisms of free metabelian Lie algebras [PDF]

, 2011
2000 Mathematics Subject Classification: 17B01, 17B30, 17B40.Let Fm be the free metabelian Lie algebra of rank m over a field K of characteristic 0. We consider the semigroup IE(Fm) of the endomorphisms of Fm which are identical modulo the commutator ...
Findik, Sehmus
core  

Normal and Normally Outer Automorphisms of Free Metabelian Nilpotent Lie Algebras [PDF]

, 2010
2000 Mathematics Subject Classification: 17B01, 17B30, 17B40.Let Lm,c be the free m-generated metabelian nilpotent of class c Lie algebra over a field of characteristic 0.
Fιndιk, Şehmus
core  

Outer Automorphisms of Lie Algebras related with Generic 2×2 Matrices [PDF]

, 2012
2010 Mathematics Subject Classification: 17B01, 17B30, 17B40, 16R30.Let Fm = Fm(var(sl2(K))) be the relatively free algebra of rank m in the variety of Lie algebras generated by the algebra sl2(K) over a field K of characteristic 0.
Fındık, Şehmus
core  

Weyl Groups of Fine Gradings on Simple Lie Algebras of Types A, B, C and D [PDF]

, 2012
2010 Mathematics Subject Classification: Primary 17B70, secondary 17B40, 16W50.Given a grading Γ : L ⨁ = g ∈ G L g on a nonassociative algebra L by an abelian group G, we have two subgroups of Aut(L): the automorphisms that stabilize each component L g ...
Kochetov, Mikhail, Elduque, Alberto
core  

$\mathbf {5 \times 5}$ -graded Lie algebras, cubic norm structures and quadrangular algebras

Forum of Mathematics, Sigma
We study simple Lie algebras generated by extremal elements, over arbitrary fields of arbitrary characteristic. We show the following: (1) If the extremal geometry contains lines, then the Lie algebra admits a $5 \times 5$ -grading that can be ...
Tom De Medts, Jeroen Meulewaeter
doaj   +1 more source

Combined system of additive functional equations in Banach algebras

Open Mathematics
In this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end ...
Donganont Siriluk, Park Choonkil
doaj   +1 more source

Span

, 2008
Classification: 14R10, 17B40.Mots cle's: Polynomial automorphisms, affine algebraic geometry ...
J-p. Furter, S. Maubach, Universite La, Rochelleavenue Michel Cre'peau   +3 more
core  

Hydroclimatic and cultural instability in northeastern North America during the last millennium. [PDF]

PLoS One, 2021
Stager JC, Wiltse B, Cumming BF, Messner TC, Robtoy J, Cushing S.   +5 more
europepmc   +1 more source