Results 21 to 30 of about 308,640 (313)

Computing Bi-Invariant Pseudo-Metrics on Lie Groups for Consistent Statistics

open access: yesEntropy, 2015
In computational anatomy, organ’s shapes are often modeled as deformations of a reference shape, i.e., as elements of a Lie group. To analyze the variability of the human anatomy in this framework, we need to perform statistics on Lie groups. A Lie group
Nina Miolane, Xavier Pennec
doaj   +1 more source

The Method of Insulator Defect Recognition Based on Group Theory

open access: yesIEEE Access, 2021
The auto insulator defect recognition method is more efficient and reliable than manual method, and it has lots of application. The paper presents an insulator recognition method, and meanwhile it attempts to explore the intrinsic characteristics among ...
Changjian Deng
doaj   +1 more source

On the Automorphism Group of a Lie Group [PDF]

open access: yesProceedings of the American Mathematical Society, 1974
It is proved that the automorphism group of a connected real or complex Lie group contains an open real or complex algebraic subgroup. It follows that the identity component of the group of complex automorphisms of a connected complex Lie group is a complex algebraic group.
openaire   +1 more source

Holomorphic Lie group actions on Danielewski surfaces [PDF]

open access: yes, 2022
We prove that any Lie subgroup G (with finitely many connected components) of an infinite-dimensional topological group (Formula presented.) which is an amalgamated product of two closed subgroups can be conjugated to one factor.
Frank Kutzschebauch   +4 more
core   +1 more source

Contact and almost contact structures on the real extension of the Lobachevsky plane

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2021
In this article, we propose a group model G of a real extension of the Lobachevsky plane H2 × R . The group G is a Lie group of special-form matrices and a subgroup of the general linear group GL(3, R).
V.I. Pan’zhenskii, A.O. Rastrepina
doaj   +1 more source

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   +1 more source

Einstein warped product spaces on Lie groups

open access: yesCubo, 2022
We consider a compact Lie group with bi-invariant metric, coming from the Killing form. In this paper, we study Einstein warped product space, $M = M_1 \times_{f_1} M_2$ for the cases, $(i)$ $M_1$ is a Lie group $(ii)$ $M_2$ is a Lie group and $(iii ...
Buddhadev Pal   +2 more
doaj   +1 more source

Dirac Lie groups [PDF]

open access: yesAsian Journal of Mathematics, 2014
46 ...
Li-Bland, David, Meinrenken, Eckhard
openaire   +3 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   +1 more source

Jacobi–Lie symmetry and Jacobi–Lie T-dual sigma models on group manifolds

open access: yesNuclear Physics B, 2018
Using the concept of Jacobi–Lie group and Jacobi–Lie bialgebra, we generalize the definition of Poisson–Lie symmetry to Jacobi–Lie symmetry. In this regard, we generalize the concept of Poisson–Lie T-duality to Jacobi–Lie T-duality and present Jacobi–Lie
A. Rezaei-Aghdam, M. Sephid
doaj   +1 more source

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