Results 31 to 40 of about 156 (136)

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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Degenerations of Leibniz and Anticommutative Algebras [PDF]

Canadian 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, Kaygorodov, Ivan, Volkov, Yury   +2 more
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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, A.A. Pypka, N.N. Semko, V.S. Yashchuk   +3 more
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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
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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, Yuho Sakatani, Daniel C. Thompson   +2 more
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Automorphisms and Derivations of Leibniz Algebras [PDF]

Ukrainian Mathematical Journal, 2016
12 ...
Ladra, M., Rikhsiboev, I. M., Turdibaev, R. M.   +2 more
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Equivariant deformation cohomology and group actions on compatible Hom-Leibniz algebras [PDF]

Arab Journal of Mathematical Sciences
PurposeThis paper introduces and studies compatible G-Hom-Leibniz algebras, namely compatible Hom-Leibniz algebras equipped with a finite group action.
Rinkila Bhutia, Namita Behera
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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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ON LEVI’S THEOREM FOR LEIBNIZ ALGEBRAS [PDF]

Bulletin of the Australian Mathematical Society, 2011
AbstractA Lie algebra over a field of characteristic 0 splits over its soluble radical and all complements are conjugate. I show that the splitting theorem extends to Leibniz algebras but that the conjugacy theorem does not.
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On Inner Derivations of Leibniz Algebras

Mathematics
Leibniz algebras are generalizations of Lie algebras. Similar to Lie algebras, inner derivations play a crucial role in characterizing complete Leibniz algebras.
Sutida Patlertsin, Suchada Pongprasert, Thitarie Rungratgasame   +2 more
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