Results 11 to 20 of about 341 (30)

Lie algebraic characterization of manifolds [PDF]

open access: yes, 2003
Results on characterization of manifolds in terms of certain Lie algebras growing on them, especially Lie algebras of differential operators, are reviewed and extended.
Grabowski, Janusz, Poncin, Norbert
core   +4 more sources

An overview of fine gradings on simple Lie algebras [PDF]

open access: yes, 2016
This paper presents a survey of the results and ideas behind the classification of the fine gradings, up to equivalence, on the simple finite dimensional Lie algebras over an algebraically closed field of characteristic zero.
Draper, Cristina, Elduque, Alberto
core   +5 more sources

Vogan diagrams of affine twisted Lie superalgebras

open access: yes, 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

Bi-quartic parametric polynomial minimal surfaces

open access: yes, 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

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

open access: yes, 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   +10 more
core   +2 more sources

The automorphism groups and derivation algebras of two-dimensional algebras

open access: yes, 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

open access: yes, 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

6-dimensional product Lie algebras admitting integrable complex structures

open access: yes, 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

Lie algebras simple with respect to a Taft algebra action

open access: yes, 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

Outer endomorphisms of free metabelian Lie algebras [PDF]

open access: yes, 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  

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