Results 11 to 20 of about 2,128,372 (188)

Research on the Necessity of Lie Group Strapdown Inertial Integrated Navigation Error Model Based on Euler Angle [PDF]

Sensors, 2022
In response to the lack of specific demonstration and analysis of the research on the necessity of the Lie group strapdown inertial integrated navigation error model based on the Euler angle, two common integrated navigation systems, strapdown inertial ...
Leiyuan Qian, Fangjun Qin, Kailong Li, Tiangao Zhu   +3 more
doaj   +2 more sources

Pro-Lie Groups: A Survey with Open Problems

Axioms, 2015
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
doaj   +4 more sources

Lie Group Methods in Blind Signal Processing [PDF]

Sensors, 2020
This paper deals with the use of Lie group methods to solve optimization problems in blind signal processing (BSP), including Independent Component Analysis (ICA) and Independent Subspace Analysis (ISA). The paper presents the theoretical fundamentals of
Dariusz Mika, Jerzy Jozwik
doaj   +2 more sources

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

Nuclear 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   +2 more sources

Special symplectic Lie groups and hypersymplectic Lie groups [PDF]

, 2010
A special symplectic Lie group is a triple $(G,\omega,\nabla)$ such that $G$ is a finite-dimensional real Lie group and $\omega$ is a left invariant symplectic form on $G$ which is parallel with respect to a left invariant affine structure $\nabla$.
A. Andrada, A. Andrada, A. Andrada, A. Diatta, A. Fino, A. Lichnerowicz, A.A. Balinskii, B.Y. Chu, C. Bartocci, C.M. Bai, C.M. Bai, C.M. Bai, Chengming Bai, D. Alekseevsky, D. Alekseevsky, D. Burde, D. Burde, H. Kamada, H. Ooguri, J.-H. Lu, J.-L. Loday, M. Takeuchi, M.L. Barberis, N.B. Boyom, N.B. Boyom, N.J. Hitchin, P. Libermann, R. Schafer, S. Kaneyuki, S. Majid, V. Chari, V.G. Drinfeld, Xiang Ni   +32 more
core   +1 more source

An Invitation to Higher Gauge Theory [PDF]

, 2010
In this easy introduction to higher gauge theory, we describe parallel transport for particles and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a gauge group, this generalization involves a gauge '2-group'.
A. Ashtekar, A. Baratin, A. Baratin, A. Pressley, A.J. Power, A.L. Carey, A.P. Balachandran, B. Eckmann, C. DeWitt-Morette, D.S. Freed, E. Witten, F. Girelli, F. Girelli, H. Pfeiffer, H. Weyl, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Elgueta, J. Lewandowski, J.-L. Brylinski, J.-L. Brylinski, J.-L. Brylinski, J.H.C. Whitehead, J.H.C. Whitehead, J.W. Barrett, John C. Baez, John Huerta, K. Gawedzki, K. Gawedzki, L. Breen, L. Breen, L. Castellani, L. Crane, L. Crane, L. Freidel, M. Johnson, M. Mackaay, M. Montesinos, M. Schlessinger, M.K. Murray, M.K. Murray, P. Aschieri, P. Aschieri, S. Mac Lane, S. Stolz, T. DeDonder, U. Schreiber, V. Guillemin, W. Fairbairn   +58 more
core   +5 more sources

Lie group analysis for short pulse equation [PDF]

AUT 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

Categorified central extensions, \'etale Lie 2-groups and Lie's Third Theorem for locally exponential Lie algebras [PDF]

, 2011
Lie's Third Theorem, asserting that each finite-dimensional Lie algebra is the Lie algebra of a Lie group, fails in infinite dimensions. The modern account on this phenomenon is the integration problem for central extensions of infinite-dimensional Lie ...
Agore, Baer, Baez, Baez, Baez, Baez, Baez, Blanco, Blohmann, Bourbaki, Bourgin, Breen, Brylinski, Brylinski, Cartan, Cartan, Christoph Wockel, Crainic, Douady, Eilenberg, Forrester-Barker, Glöckner, Glöckner, Glöckner, Henriques, Hofmann, Hofmann, Iglesias-Zemmour, Iglésias, Jacobson, Kiechle, Kriegl, Lang, Lempert, Loday, MacLane, Maier, Mickelsson, Murray, Nagy, Neeb, Neeb, Nikolaus, Nikolaus, Olver, Pflugfelder, Porst, Pradines, Pressley, Schommer-Pries, Schreiber, Smith, Stolz, Stolz, Tseng, Tuynman, van Est, van Est, van Est, Waldorf, Weinstein, Wockel, Wockel, Wockel   +63 more
core   +2 more sources

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

Учёные 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

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

Entropy, 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