Results 31 to 40 of about 751 (85)

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

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  

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
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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

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

An action of the free product $\mathbb Z_2 \star \mathbb Z_2 \star \mathbb Z_2$ on the $q$-Onsager algebra and its current algebra

, 2018
Recently Pascal Baseilhac and Stefan Kolb introduced some automorphisms $T_0$, $T_1$ of the $q$-Onsager algebra $\mathcal O_q$, that are roughly analogous to the Lusztig automorphisms of $U_q(\widehat{\mathfrak{sl}}_2)$.
Terwilliger, Paul
core   +1 more source

On the classification of metabelian Lie algebras

, 1973
The classification of 2-step nilpotent Lie algebras is attacked by a generator-relation method. The main results are in low dimensions or a small number of relations. Introduction.
Michael A. Gauger
semanticscholar   +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

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

Orbits in a real reductive Lie algebra

, 1972
The purpose of this paper is to give a classification of the orbits in a real reductive Lie algebra under the adjoint action of a corresponding connected Lie group.
L. Rothschild
semanticscholar   +1 more source