Results 21 to 30 of about 456,826 (227)
On a class of Leibniz algebras
International Journal of Advanced Mathematical Sciences, 2015 <p>We pointed out the class of Leibniz algebras such that the Killing form is non degenerate implies algebras are semisimple.</p>
Béré, Côme J. A. +2 more
openaire +3 more sources
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In recent years there has been a great interest in the study of Zinbiel (dual Leibniz) algebras. Let A be Zinbiel algebra over an arbitrary field K and let e1,e2,...,em,... be a linear basis of A. In 2010 A.
D.M. Zhangazinova, A.S. Naurazbekova
doaj +1 more source
On Restricted Leibniz Algebras
Communications in Algebra, 2006 In this paper we prove that in prime characteristic there is a functor $-_{p-Leib}$ from the category of diassociative algebras to the category of restricted Leibniz algebras, generalizing the functor from associative algebras to restricted Lie algebras.
Dokas, Ioannis, Loday, Jean-Louis
openaire +3 more sources
Conjugacy of Cartan Subalgebras in Solvable Leibniz Algebras and Real Leibniz Algebras [PDF]
Algebras and Representation Theory, 2017 This paper is devoted to study the conjugacy of Cartan subalgebras in solvable Leibniz algebras. A Leibniz algebra is nonantisymmetric generalization of Lie algebras. Since proofs of conjugacy results in Lie algebras depend on antisymmetry property, the authors prove the analogues of conjugacy results by amending the arguments in Leibniz algebras.
Stitzinger, Ernie, White, Ashley
openaire +2 more sources
Neunter Band: Januar 1702 – Juni 1705
, 2022 Trotz vielfältiger Ablenkungen ist die Mathematik in den knapp 300 Stücken der Korrespondenzen dieses Bandes wieder ein dominantes Thema. Mehrere Auseinandersetzungen begleitet Leibniz beratend: zwischen P. Varignon und M.
Leibniz, Gottfried Wilhelm
core +1 more source
Rota-Baxter Leibniz Algebras and Their Constructions
Advances in Mathematical Physics, 2018 In this paper, we introduce the concept of Rota-Baxter Leibniz algebras and explore two characterizations of Rota-Baxter Leibniz algebras. And we construct a number of Rota-Baxter Leibniz algebras from Leibniz algebras and associative algebras and ...
Liangyun Zhang, Linhan Li, Huihui Zheng
doaj +1 more source
Leibniz algebras: a brief review of current results
Karpatsʹkì Matematičnì Publìkacìï, 2019 Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[\cdot,\cdot]$. 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 $a,b,c\in L$.
V.A. Chupordia +3 more
doaj +1 more source
Broué’s Conjecture for 2-Blocks with Elementary Abelian Defect Groups of Order 32 [PDF]
Advances in Group Theory and Applications, 2021 The first author recently classified the Morita equivalence classes of 2-blocks of finite groups with elementary abelian defect groups of order 32. In all but three cases he proved that the Morita equivalence class determines the inertial quotient of the
Cesare Giulio Ardito, Benjamin Sambale
doaj +1 more source
Some cohomologically rigid solvable Leibniz algebras [PDF]
, 2020 In this paper we describe solvable Leibniz algebras whose quotient algebra by one-dimensional ideal is a Lie algebra with rank equal to the length of the characteristic sequence of its nilpotent radical.
Solijanova, Gulkhayo +3 more
core +1 more source
E6(6) exceptional Drinfel’d algebras
Journal of High Energy Physics, 2021 The exceptional Drinfel’d algebra (EDA) is a Leibniz algebra introduced to provide an algebraic underpinning with which to explore generalised notions of U-duality in M-theory. In essence, it provides an M-theoretic analogue of the way a Drinfel’d double
Emanuel Malek +2 more
doaj +1 more source