Results 41 to 50 of about 246,696 (68)

3-Leibniz bialgebras (3-Lie bialgebras)

, 2017
The aim of this paper is to extend the notion of Leibniz bialgebra (and Lie bialgebra) to [Formula: see text]-Leibniz bialgebra (and [Formula: see text]-Lie bialgebra) by use of the cohomology complex of [Formula: see text]-Leibniz algebras.
A. Rezaei-Aghdam, L. Sedghi-Ghadim
core   +1 more source

Solvable Lie A-algebras. [PDF]

, 2011
A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpotent subalgebras are abelian. This is analogous to the concept of an $A$-group: a finite group with the property that all of its Sylow subgroups are abelian.
Towers, David A.
core   +1 more source

On structural aspects of finite simple groups of Lie type [PDF]

, 2011
PhDIn this PhD thesis, we consider two problems that are related to finite simple groups of Lie type. First of them is a problem mentioned in the Kourovka notebook: describe the finite simple groups in which every element is a product of two ...
Ramo, Johanna Maria
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C-Supplemented Subalgebras of Lie Algebras. [PDF]

, 2008
A subalgebra $B$ of a Lie algebra $L$ is c-{\it supplemented} in $L$ if there is a subalgebra $C$ of $L$ with $L = B + C$ and $B \cap C \leq B_L$, where $B_L$ is the core of $B$ in $L$.
Towers, David A.
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On semi-modular subalgebras of Lie algebras over fields of arbitrary characteristic. [PDF]

, 2008
This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. It is shown that, in certain circumstances, including for all solvable algebras, for all restricted Lie algebras over ...
Towers, David A.
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Heisenberg-Lie commutation relations in Banach algebras. [PDF]

, 2009
Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific ...
Laustsen, Niels Jakob, Silvestrov, Sergei D.   +1 more
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Twisting of Graded Quantum Groups and Solutions to the Quantum Yang-Baxter Equation. [PDF]

Transform Groups
Huang H, Nguyen VC, Ure C, Vashaw KB, Veerapen P, Wang X.   +5 more
europepmc   +1 more source

Manin triples associated to $n$-Lie bialgebras [PDF]

In this paper, we study the Manin triples associated to $n$-Lie bialgebras. We introduce the concept of operad matrices for $n$-Lie bialgebras. In particular, by studying a special case of operad matrices, it leads to the notion of local cocycle $n$-Lie ...
Kang, Chuangchuang, Yu, Shizhuo, Chen, Ying, Lü, Jiafeng   +3 more
core  

A construction of Lie bialgebras from Lie coalgebras via antisymmetric bilinear forms

Communications in Algebra, 2020
A construction of Lie bialgebras from Lie coalgebras is given by using differentials of some antisymmetric bilinear forms.
Youjun Tan
exaly   +2 more sources

(H,R)-Lie coalgebras and (H,R)-Lie bialgebras

Siberian Mathematical Journal, 2006
Given an (H,R)-Lie coalgebra Γ, we construct (H,R T )-Lie coalgebra ΓT through a right cocycle T, where (H,R) is a triangular Hopf algebra, and prove that there exists a bijection between the set of (H,R)-Lie coalgebras and the set of ordinary Lie coalgebras. We also show that if (L, [, ], Δ, R) is an (H,R)-Lie bialgebra of an ordinary Lie algebra then
exaly   +2 more sources