Results 1 to 10 of about 229,491 (314)
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 +2 more
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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 +2 more
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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 +1 more
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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 +4 more
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Harmonic maps into sub-Riemannian Lie groups
Communications in Analysis and Mechanics, 2023 We define harmonic maps between sub-Riemannian manifolds by generalizing known definitions for Riemannian manifolds. We establish conditions for when a horizontal map into a Lie group with a left-invariant metric structure is a harmonic map. We show that
Erlend Grong , Irina Markina
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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 +2 more
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Transactions of the American Mathematical Society, 1985 This paper studies the structure of locally compact groups which are determined by Lie groups in one form or another. The best understood class if that of pro-Lie groups G (which are locally compact groups with arbitrarily small compact normal subgroups N such that G/N is a Lie group. Theorem 1 says that these are precisely those groups G such that for
Bagley, R. W., Wu, T. S., Yang, J. S.
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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
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Transformation Groups, 2018 In this paper we study the Lie theoretic properties of a class of topological groups which carry a Banach manifold structure but whose multiplication is not smooth. If $G$ and $N$ are Banach-Lie groups and $ : G \to \mathrm{Aut}(N)$ is a homomorphism defining a continuous action of $G$ on $N$, then $H := N \rtimes_ G$ is a Banach manifold with a ...
Marquis, T., Neeb, K-H.
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Asian Journal of Mathematics, 2014 46 ...
Li-Bland, David, Meinrenken, Eckhard
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