Results 61 to 70 of about 456,826 (227)

On Integral Manifolds for Leibniz Algebras [PDF]

open access: yesAlgebra, 2014
We discuss several partial solutions to the so-called “coquecigrue problem” of Loday; these solutions parallel, but also generalize in several directions, the classical Lie group-Lie algebra correspondence. Our study highlights some clear similarities between the split and nonsplit cases and leads us to a general unifying scheme that provides an answer
Juan Monterde, Fausto Ongay
openaire   +2 more sources

Some Remarks on a Classification of Nilpotent Compatible Leibniz Algebras

open access: yesMathematics
In this note, we describe compatible Leibniz algebras and present several of their properties. Our aim is to present a comprehensive classification of non-Lie nilpotent compatible Leibniz algebras in low dimensions.
Nil Mansuroğlu
doaj   +1 more source

Methods of group theory in Leibniz algebras: some compelling results

open access: yesResearches in Mathematics, 2021
The theory of Leibniz algebras has been developing quite intensively. Most of the results on the structural features of Leibniz algebras were obtained for finite-dimensional algebras and many of them over fields of characteristic zero.
I.Ya. Subbotin
doaj   +1 more source

A new approach for the analysis of evolution partial differential equations on a finite interval

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We show that, for certain evolution partial differential equations, the solution on a finite interval (0,ℓ)$(0,\ell)$ can be reconstructed as a superposition of restrictions to (0,ℓ)$(0,\ell)$ of solutions to two associated partial differential equations posed on the half‐lines (0,∞)$(0,\infty)$ and (−∞,ℓ)$(-\infty,\ell)$.
Türker Özsarı   +2 more
wiley   +1 more source

Siebenter Band: 1673–1676: Kurven, Constructio aequationum, Méthode de l’universalité

open access: yes, 2019
Leibniz befasste sich seit 1673 im Rahmen seiner Studien zur Algebra mit den Methoden zur geometrischen Konstruktion von Gleichungslösungen (constructio aequationum), vor allem von Gleichungen bis zum 4.
Leibniz, Gottfried Wilhelm
core   +1 more source

UM ESTUDO SOBRE AS ORIGENS DOS ESPAÇOS VETORIAIS

open access: yesRevista Brasileira de História da Matemática, 2020
Este artigo apresenta uma reflexão sobre as origens da estrutura axiomática dos espaços vetoriais a partir de obras sobre geometria e álgebra vetorial como o Cálculo do Baricentro de Möbius, o Cálculo de Equipolência de Bellavitis, os Quaternions de ...
Plínio Zornoff Táboas
doaj   +1 more source

Homological Algebra for Superalgebras of Differentiable Functions [PDF]

open access: yes, 2012
This is the second in a series of papers laying the foundations for a differential graded approach to derived differential geometry (and other geometries in characteristic zero). In this paper, we extend the classical notion of a dg-algebra to define, in
Sub Algebra,Geometry&Mathem. Logic begr.   +2 more
core   +1 more source

Degenerations of Leibniz and Anticommutative Algebras [PDF]

open access: yesCanadian Mathematical Bulletin, 2019
AbstractWe describe all degenerations of three-dimensional anticommutative algebras $\mathfrak{A}\mathfrak{c}\mathfrak{o}\mathfrak{m}_{3}$ and of three-dimensional Leibniz algebras $\mathfrak{L}\mathfrak{e}\mathfrak{i}\mathfrak{b}_{3}$ over $\mathbb{C}$.
Ismailov, Nurlan   +2 more
openaire   +3 more sources

Semicomplete Leibniz Algebras

open access: yesMathematics
We study the notion of semicomplete Leibniz algebras and investigate their fundamental properties. In particular, we classify all non-Lie Leibniz algebras of dimension at most three according to their semicompleteness and establish structural results ...
Chaleamrach Malangpoo   +2 more
doaj   +1 more source

Reviving 3D N $$ \mathcal{N} $$ = 8 superconformal field theories

open access: yesJournal of High Energy Physics, 2019
We present a Lagrangian formulation for N $$ \mathcal{N} $$ = 8 superconformal field theories in three spacetime dimensions that is general enough to encompass infinite-dimensional gauge algebras that generally go beyond Lie algebras.
Olaf Hohm, Henning Samtleben
doaj   +1 more source

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