Results 11 to 20 of about 9,646,935 (229)

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

open access: yes, 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
core   +4 more sources

On Lie induction and the exceptional series [PDF]

open access: yes, 2005
Lie bialgebras occur as the principal objects in the infinitesimalization of the theory of quantum groups — the semi-classical theory. Their relationship with the quantum theory has made available some new tools that we can apply to classical questions ...
GRABOWSKI, JANE, Grabowski, Jan
core   +5 more sources

Inductive constructions for Lie bialgebras and Hopf algebras [PDF]

open access: yes, 2006
PhDIn recent years, two generalisations of the theory of Lie algebras have become prominent, namely the "semi-classical" theory of Lie bialgebras and the "quantum" theory of Bopf algebras, including the quantized enveloping algebras.
Grabowski, Jan E.
core   +4 more sources

A triple construction for Lie bialgebras [PDF]

open access: yes, 2005
We study the triple of a quasitriangular Lie bialgebra as a natural extension of the Drinfel’d double. The triple is itself a quasitriangular Lie bialgebra.
Grabowski, Jan
core   +5 more sources

Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group

open access: yesCumhuriyet Science Journal, 2022
Our purpose in this research is to use an alternative moving frame in the 3-dimensional Lie group to construct the problem of how to characterize a surface family and derive the conditions from a given common geodesic curve as an isoparametric curve ...
Zuhal Kucukarslan Yuzbasi
doaj   +1 more source

Braided Lie bialgebras associated to Kac-Moody algebras [PDF]

open access: yes, 2008
Braided-Lie bialgebras have been introduced by Majid, as the Lie versions of Hopf algebras in braided categories. In this paper we extend previous work of Majid and of ours to show that there is a braided-Lie bialgebra associated to each inclusion of Kac-
Grabowski, Jan
core   +4 more sources

Automorphic Lie algebras with dihedral symmetry [PDF]

open access: yes, 2014
The concept of automorphic Lie algebras arises in the context of reduction groups introduced in the early 1980s in the field of integrable systems.
Sanders, Jan   +10 more
core   +1 more source

Lie group analysis for short pulse equation [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2020
In this paper, the classical Lie symmetry analysis and the generalized form of Lie symmetry method are performed for a general short pulse equation. The point, contact and local symmetries for this equation are given.
Mehdi Nadjafikhah
doaj   +1 more source

An example of a non-Borel locally-connected finite-dimensional topological group

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2017
According to a classical theorem of Gleason and Montgomery, every finite-dimensional locally path-connected topological group is a Lie group. In the paper for every $n\ge 2$ we construct a locally connected subgroup $G\subset{\mathbb R}^{n+1}$ of ...
I.Ya. Banakh, T.O. Banakh, M.I. Vovk
doaj   +1 more source

Higher-dimensional automorphic lie algebras [PDF]

open access: yes, 2016
The paper presents the complete classification of Automorphic Lie Algebras based on sln(C)sln(C) , where the symmetry group G is finite and acts on sln(C)sln(C) by inner automorphisms, sln(C)sln(C) has no trivial summands, and where the poles are in ...
Sanders, Jan   +11 more
core   +2 more sources

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