Results 21 to 30 of about 394 (56)

On the hom-associative Weyl algebras

, 2020
The first (associative) Weyl algebra is formally rigid in the classical sense. In this paper, we show that it can however be formally deformed in a nontrivial way when considered as a so-called hom-associative algebra, and that this deformation preserves
Bäck, Per, Richter, Johan
core   +1 more source

A sufficient condition for a number to be the order of a nonsingular derivation of a Lie algebra

, 2007
A study of the set N_p of positive integers which occur as orders of nonsingular derivations of finite-dimensional non-nilpotent Lie algebras of characteristic p>0 was initiated by Shalev and continued by the present author.
A. Shalev, H. Davenport, H. Halberstam, N. Jacobson, P. Erdős, R. Hartshorne, R. Lidl, S. A. Stepanov, S. Mattarei, S. Mattarei, S. Mattarei   +10 more
core   +2 more sources

Bi-quartic parametric polynomial minimal surfaces

, 2015
Minimal surfaces with isothermal parameters admitting B\'{e}zier representation were studied by Cosin and Monterde. They showed that, up to an affine transformation, the Enneper surface is the only bi-cubic isothermal minimal surface.
Kassabov, Ognian, Vlachkova, Krassimira
core   +1 more source

The automorphism groups and derivation algebras of two-dimensional algebras

, 2018
The automorphisms groups and derivation algebras of all two-dimensional algebras over algebraically closed fields are described.Comment: A type-mistake in $A_{3,2}(\mathbf{c})$ case, page 4, and its consequences are are ...
Ahmed, H., Bekbaev, U., Rakhimov, I.
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

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

6-dimensional product Lie algebras admitting integrable complex structures

, 2017
We classify the 6-dimensional Lie algebras of the form $g\times g$ that admit integrable complex structure. We also endow a Lie algebra of the kind $o(n)\oplus o(n)$ with such a complex structure.
Czarnecki, Andrzej, Sroka, Marcin
core   +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

On Some Almost Quadratic Algebras Coming from Twisted Derivations

, 2006
This paper explores the quasi-deformation scheme devised in [1, 3] as applied to the simple Lie algebra for specific choices of the involved parameters and underlying algebras.
Daniel S. D. Larsson, G. Sigurdsson, S. Silvestrov   +2 more
semanticscholar   +1 more source

A FIXED POINT THEOREM FOR VOLUME PRESERVING LINEAR TRANSFORMATIONS

, 2016
In this note we derive consequences of the fact that if g ∈ SL(n), where n ≥ 2, and σi(g) are the coefficients of its characteristic polynomial, then g has 1 as an eigenvalue if and only if ∑ n−1 i=1 (−1) σi(g) = 0 or 2 according to the parity of n ...
M. Moskowitz
semanticscholar   +1 more source