Results 31 to 40 of about 2,128,372 (188)
The Lie Group in Infinite Dimension
Abstract and Applied Analysis, 2011 A Lie group acting on finite-dimensional space is generated by its infinitesimal transformations and conversely, any Lie algebra of vector fields in finite dimension generates a Lie group (the first fundamental theorem).
V. Tryhuk, V. Chrastinová, O. Dlouhý
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From Loop Groups to 2-Groups [PDF]
, 2005 We describe an interesting relation between Lie 2-algebras, the Kac-Moody central extensions of loop groups, and the group String(n). A Lie 2-algebra is a categorified version of a Lie algebra where the Jacobi identity holds up to a natural isomorphism ...
Baez, John C. +3 more
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Controllabilty and stability analysis on a group associated with Black-Scholes equation [PDF]
Archives of Control Sciences, 2020 In this paper we have studied the driftless control system on a Lie group which arises due to the invariance of Black-Scholes equation by conformal transformations.
Archana, Tiwari +2 more
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Jacobi-Lie Hamiltonian systems on real low-dimensional Jacobi-Lie groups and their Lie symmetries [PDF]
J. Math. Phys. Anal. Geom. vol. 18 (2022)33-56, 2019 We study Jacobi-Lie Hamiltonian systems admitting Vessiot-Guldberg Lie algebras of Hamiltonian vector fields related to Jacobi structures on real low-dimensional Jacobi-Lie groups. Also, we find some examples of Jacobi-Lie Hamiltonian systems on real two- and three- dimensional Jacobi-Lie groups.
arxiv +1 more source
Infinite dimensional super Lie groups
, 2006 A super Lie group is a group whose operations are $G^{\infty}$ mappings in the sense of Rogers. Thus the underlying supermanifold possesses an atlas whose transition functions are $G^{\infty}$ functions. Moreover the images of our charts are open subsets
Abraham +21 more
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On Square-Integrable Representations of A Lie Group of 4-Dimensional Standard Filiform Lie Algebra
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2020 In this paper, we study irreducible unitary representations of a real standard filiform Lie group with dimension equals 4 with respect to its basis. To find this representations we apply the orbit method introduced by Kirillov. The corresponding orbit of
Edi Kurniadi
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Automatika, 2021 We address several problems of coordination and consensus on $ SO(3) $ and $ S^3 $ that can be formulated as minimization problems on these Lie groups.
Aladin Crnkić +3 more
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Long Time Simulation Analysis of Geometry Dynamics Model under Iteration
Applied Sciences, 2022 Geometry modeling methods can conserve the geometry characters of a system, which helps the dynamic equations more concisely and is good for long simulations. Reduced attitude, Lie group and Lie algebra are three different expressions of geometry. Models
Weiwei Sun +3 more
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A class of 3-dimensional almost Kenmotsu manifolds with harmonic curvature tensors
Open Mathematics, 2016 Let M3 be a three-dimensional almost Kenmotsu manifold satisfying ▽ξh = 0. In this paper, we prove that the curvature tensor of M3 is harmonic if and only if M3 is locally isometric to either the hyperbolic space ℍ3(-1) or the Riemannian product ℍ2(−4) ×
Wang Yaning
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A modification of Hardy-Littlewood maximal function on Lie groups [PDF]
AUT Journal of Mathematics and ComputingFor a real-valued function $f$ on a metric measure space $(X,d,\mu)$ the Hardy-Littlewood centered-ball maximal-function of $f$ is given by the `supremum-norm':$$Mf(x):=\sup_{r>0}\frac{1}{\mu(\mathcal{B}_{x,r})}\int_{\mathcal{B}_{x,r}}|f|d\mu.$$In this ...
Maysam Maysami Sadr
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