Results 21 to 30 of about 40,026 (194)
MINIMAL NONNILPOTENT LEIBNIZ ALGEBRAS
International Electronic Journal of Algebra, 2020 We classify all nonnilpotent, solvable Leibniz algebras with the property that all proper subalgebras are nilpotent. This generalizes the work of Stitzinger and Towers in Lie algebras. We show several examples which illustrate the differences between the Lie and Leibniz results.
BOSKO-DUNBAR, Lindsey +3 more
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The local integration of Leibniz algebras [PDF]
, 2012 This article gives a local answer to the coquecigrue problem. Hereby we mean the problem, formulated by J-L. Loday in \cite{LodayEns}, is that of finding a generalization of the Lie's third theorem for Leibniz algebra.
Covez, Simon
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Leibniz algebras of Heisenberg type [PDF]
, 2016 We introduce and provide a classification theorem for the class of Heisenberg-Fock Leibniz algebras. This category of algebras is formed by those Leibniz algebras L whose corresponding Lie algebras are Heisenberg algebras Hn and whose Hn-modules I ...
Calderón, Antonio J. +2 more
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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
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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
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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
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Leibniz algebras, having a dense family of ideals
Karpatsʹkì Matematičnì Publìkacìï, 2020 We say that a Leibniz algebra $L$ has a dense family of ideals, if for every pair of subalgebras $A$, $B$ of $L$ such that $A\leqslant B$ and $A$ is not maximal in $B$ there exists an ideal $S$ such that $A\leqslant S\leqslant B$.
N.N. Semko, L.V. Skaskiv, O.A. Yarovaya
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Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras [PDF]
, 2017 In this paper we describe central extensions of some nilpotent Leibniz algebras. Namely, central extensions of the Leibniz algebra with maximal index of nilpotency are classified.
Adashev, J.K. +2 more
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Racks, Leibniz algebras and Yetter--Drinfel'd modules [PDF]
, 2014 A Hopf algebra object in Loday and Pirashvili's category of linear maps entails an ordinary Hopf algebra and a Yetter–Drinfel'd module. We equip the latter with a structure of a braided Leibniz algebra.
Kraehmer, Ulrich, Wagemann, Ftiedrich
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On the automorphism groups of some Leibniz algebras [PDF]
International Journal of Group Theory, 2023 We study the automorphism groups of finite-dimensional cyclic Leibniz algebras. In this connection, we consider the relationships between groups, modules over associative rings and Leibniz algebras.
Leonid Kurdachenko +2 more
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