Results 41 to 50 of about 39,911 (195)
Automorphism groups of some non-nilpotent Leibniz algebras
Researches in MathematicsLet $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[a,[b,c]]=[[a,b],c]+[b,[a,c]]$ for all $a,b,c\in L$. A linear transformation $f$ of $L$
L.A. Kurdachenko +2 more
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UM ESTUDO SOBRE AS ORIGENS DOS ESPAÇOS VETORIAIS
Revista 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
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Studia Mathematica, 1983 Suppose that X is an algebra (a linear ring) and D is a right invertible operator with the domain and range in X. X is said to be a D-algebra if the condition \(x,y\in dom D\) implies \(xy\in dom D.\) A D-algebra is a Leibniz algebra if \((1)\quad D(xy)=xDy+yDx\quad for\quad x,y\in dom D.\) Algebras in which condition (1) is not satisfied are called ...
openaire +2 more sources
On the homological properties of the universal enveloping Leibniz algebra [PDF]
, 2018 We presente a study of graded Leibniz algebras and its universal enveloping Leibniz algebra. We prove that the universal enveloping Leibniz algebra of a finite dimensional graded Leibniz algebra is a quasi-Koszul algebra or an inhomogeneous Koszul ...
Cañete-Molero, Elisa María
core
On the Leibniz bracket, the Schouten bracket and the Laplacian
, 2003 The Leibniz bracket of an operator on a (graded) algebra is defined and some of its properties are studied. A basic theorem relating the Leibniz bracket of the commutator of two operators to the Leibniz bracket of them, is obtained.
Coll, Bartolomé, Ferrando, Joan Josep
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Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Mathematische Nachrichten, EarlyView.Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley +1 more source
Leibniz algebra deformations of a Lie algebra
, 2008 In this note we compute Leibniz algebra deformations of the 3-dimensional nilpotent Lie algebra $\mathfrak{n}_3$ and compare it with its Lie deformations. It turns out that there are 3 extra Leibniz deformations.
Alice Fialowski +5 more
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Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
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On an analogue of Schur's theorem for Leibniz $n$-algebras
Researches in MathematicsIn this paper, we investigate relationships between certain important subalgebras of Leibniz $n$-algebras. In particular, we establish a close connection between the central factor-algebra of a Leibniz $n$-algebra and its derived ideal. As an application,
A.V. Petrov, O.O. Pypka, I.V. Shyshenko
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Reviving 3D N $$ \mathcal{N} $$ = 8 superconformal field theories
Journal 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
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