Results 61 to 70 of about 2,128,372 (188)
Linearization of Poisson Lie group structures [PDF]
, 2013 We show that for any coboundary Poisson Lie group G, the Poisson structure on G^* is linearizable at the group unit. This strengthens a result of Enriquez-Etingof-Marshall, who had established formal linearizability of G^* for quasi-triangular Poisson ...
Alekseev, Anton, Meinrenken, Eckhard
core
Explicit Parameterizations of Ortho-Symplectic Matrices in
MathematicsStarting from the very first principles we derive explicit parameterizations of the ortho-symplectic matrices in the real four-dimensional Euclidean space.
Clementina D. Mladenova +1 more
doaj +1 more source
On Properties of the (2n+1)-Dimensional Heisenberg Lie Algebra
JTAM (Jurnal Teori dan Aplikasi Matematika), 2020 In the present paper, we study some properties of the Heisenberg Lie algebra of dimension . The main purpose of this research is to construct a real Frobenius Lie algebra from the Heisenberg Lie algebra of dimension .
Edi Kurniadi
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On the Geometry of Cotangent Bundles of Lie Groups [PDF]
arXiv, 2015 Lie groups of automorphisms of cotangent bundles of Lie groups are completely characterized and interesting results are obtained. We give prominence to the fact that the Lie groups of automorphisms of cotangent bundles of Lie groups are super symmetric Lie groups. In the cases of orthogonal Lie lgebras, semi-simple Lie algebras and compact Lie algebras
arxiv
Reduction of Dynamics with Lie Group Analysis
Advances in Mathematical Physics, 2012 This paper is mainly a review concerning singular perturbation methods by means of Lie group analysis which has been presented by the author. We make use of a particular type of approximate Lie symmetries in those methods in order to construct reduced ...
M. Iwasa
doaj +1 more source
arXiv, 1997 We introduce braided Lie bialgebras as the infinitesimal version of braided groups. They are Lie algebras and Lie coalgebras with the coboundary of the Lie cobracket an infinitesimal braiding. We provide theorems of transmutation, Lie biproduct, bosonisation and double-bosonisation relating braided Lie bialgebras to usual Lie bialgebras.
arxiv
A new version of energy for involute of slant helix with bending energy in the Lie groups
Acta Scientiarum: Technology, 2019 In this paper, we study energy of involute curves for slant helix in the Lie group. With this new representation, we illistrate some figures of energy by elastica.
Talat Körpınar
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Finite simple groups of Lie type as expanders [PDF]
arXiv, 2009 Finite simple groups of Lie type as ...
arxiv
The dynamic of a Lie group endomorphism
Open Mathematics, 2017 For a given endomorphism φ on a connected Lie group G this paper studies several subgroups of G that are intrinsically connected with the dynamic behavior of φ.
Ayala Víctor +2 more
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Regular infinite dimensional Lie groups [PDF]
J. Lie Theory, 7,1 (1997), 61--99, 1998 Regular Lie groups are infinite dimensional Lie groups with the property that smooth curves in the Lie algebra integrate to smooth curves in the group in a smooth way (an `evolution operator' exists). Up to now all known smooth Lie groups are regular. We show in this paper that regular Lie groups allow to push surprisingly far the geometry of principal
arxiv