Results 21 to 30 of about 13,564,364 (338)
Pro-Lie Groups: A Survey with Open Problems
A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete ...
Karl H. Hofmann, Sidney A. Morris
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Lie group analysis for short pulse equation [PDF]
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
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Special symplectic Lie groups and hypersymplectic Lie groups [PDF]
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Chengming Bai, Xiang Ni
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Computing Bi-Invariant Pseudo-Metrics on Lie Groups for Consistent Statistics
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
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Contact and almost contact structures on the real extension of the Lobachevsky plane
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
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The Method of Insulator Defect Recognition Based on Group Theory
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
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Linearization of Poisson Lie group structures [PDF]
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 ...
A. Alekseev, E. Meinrenken
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Computing Multiplicities of Lie Group Representations [PDF]
For fixed compact connected Lie groups H ⊆ G, we provide a polynomial time algorithm to compute the multiplicity of a given irreducible representation of H in the restriction of an irreducible representation of G.
M. Christandl, B. Doran, M. Walter
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Quantifying wall turbulence via a symmetry approach: a Lie group theory [PDF]
First-principle-based prediction of mean-flow quantities of wall-bounded turbulent flows (channel, pipe and turbulent boundary layer (TBL)) is of great importance from both physics and engineering standpoints.
Z. She, Xi Chen, F. Hussain
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The present paper recalls a formulation of non-conservative system dynamics through the Lagrange−d’Alembert principle expressed through a generalized Euler−Poincaré form of the system equation on a Lie group.
Simone Fiori
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