Results 1 to 10 of about 1,668,012 (190)

Hermite Functions, Lie Groups and Fourier Analysis [PDF]

Entropy, 2018
In this paper, we present recent results in harmonic analysis in the real line R and in the half-line R + , which show a closed relation between Hermite and Laguerre functions, respectively, their symmetry groups and Fourier analysis. This
Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo   +2 more
doaj   +2 more sources

Stacky Lie groups

International Mathematics Research Notices, 2007
Presentations of smooth symmetry groups of differentiable stacks are studied within the framework of the weak 2-category of Lie groupoids, smooth principal bibundles, and smooth biequivariant maps.
Baez, Behrend, Behrend, Blohmann, Blohmann, Blohmann, Borceux, Breen, Brown, Christian Blohmann, Crainic, Deligne, Freed, Giraud, Heinloth, Hilsum, Joyal, Kuperberg, Landsman, Landsman, Lupercio, Lurie, Metzler, Moerdijk, Moerdijk, Mrcun, Mrčun, Noohi, Pradines, Tang, Tseng, Tu, Zhu, Zhu   +33 more
core   +5 more sources

Regularity of Lie Groups

Communications in Analysis and Geometry, 2018
We solve the regularity problem for Milnor's infinite dimensional Lie groups in the $C^0$-topological context, and provide necessary and sufficient regularity conditions for the standard setting ($C^k$-topology).
Hanusch, Maximilian
core   +2 more sources

On GDW-Randers metrics on tangent Lie groups [PDF]

AUT Journal of Mathematics and Computing, 2021
Let $G$ be a Lie group equipped with a left-invariant Randers metric $F$. Suppose that $F^v$ and $F^c$ denote the vertical and complete lift of $F$ on $TG$, respectively.
Mona Atashafrouz, Behzad Najafi, Akbar Tayebi   +2 more
doaj   +1 more source

LINEARIZATION OF POISSON–LIE STRUCTURES ON THE 2D EUCLIDEAN AND (1 + 1) POINCARÉ GROUPS

Ural Mathematical Journal, 2021
The paper deals with linearization problem of Poisson-Lie structures on the  \((1+1)\) Poincaré and \(2D\) Euclidean groups. We construct the explicit form of linearizing coordinates of all these Poisson-Lie structures. For this, we calculate all Poisson-
Bousselham Ganbouri, Mohamed Wadia Mansouri   +1 more
doaj   +1 more source

Cooking pasta with Lie groups

Nuclear Physics B, 2022
We extend the (gauged) Skyrme model to the case in which the global isospin group (which usually is taken to be SU(N)) is a generic compact connected Lie group G.
S.L. Cacciatori, F. Canfora, M. Lagos, F. Muscolino, A. Vera   +4 more
doaj   +1 more source

Geometry of Tangent Poisson–Lie Groups

Mathematics, 2023
Let G be a Poisson–Lie group equipped with a left invariant contravariant pseudo-Riemannian metric. There are many ways to lift the Poisson structure on G to the tangent bundle TG of G.
Ibrahim Al-Dayel, Foued Aloui, Sharief Deshmukh   +2 more
doaj   +1 more source

2 × 2 Matrices: Manifolds, Realizations, Applications

Applied Sciences, 2021
Both geometric and wave optical models, as well as classical and quantum mechanics, realize linear transformations with matrices; for plane optics, these are 2×2 and of unit determinant.
Kenan Uriostegui, Kurt Bernardo Wolf
doaj   +1 more source

Left-Invariant Einstein-like Metrics on Compact Lie Groups

Mathematics, 2022
In this paper, we study left-invariant Einstein-like metrics on the compact Lie group G. Assume that there exist two subgroups, H⊂K⊂G, such that G/K is a compact, connected, irreducible, symmetric space, and the isotropy representation of G/H has exactly
An Wu, Huafei Sun
doaj   +1 more source

Extrinsic calibration for motion estimation using unit quaternions and particle filtering [PDF]

Modeling, Identification and Control, 2020
This paper presents a method for calibration of the extrinsic parameters of a sensor system that combines a camera with an inertial measurement unit (IMU) to estimate the pendulum motion of a crane payload.
Aksel Sveier, Torstein A. Myhre, Olav Egeland   +2 more
doaj   +1 more source