Results 11 to 20 of about 178,877 (207)
The central limit theorem on nilpotent Lie groups [PDF]
Annals of Probability, 2023 We formulate and establish the central limit theorem for products of i.i.d. random variables on arbitrary simply connected nilpotent Lie groups, allowing a possible bias.
Timoth'ee B'enard, E. Breuillard
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An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups [PDF]
Advances in Mathematics, 2022 In this paper, we consider the Rumin complex on homogenenous nilpotent Lie groups. We present an alternative construction to the classical one on Carnot groups using ideas from parabolic geometry.
Veronique Fischer, Francesca Tripaldi
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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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Towards semi-classical analysis for sub-elliptic operators
Bruno Pini Mathematical Analysis Seminar, 2022 We discuss the recent developments of semi-classical and micro-local analysis in the context of nilpotent Lie groups and for sub-elliptic operators.
Véronique Fischer
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Completeness of coherent state subsystems for nilpotent Lie groups
Comptes Rendus. Mathématique, 2022 Let $G$ be a nilpotent Lie group and let $\pi $ be a coherent state representation of $G$. The interplay between the cyclicity of the restriction $\pi |_{\Gamma }$ to a lattice $\Gamma \le G$ and the completeness of subsystems of coherent states based on
van Velthoven, Jordy Timo
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Generalized Ricci flow on nilpotent Lie groups [PDF]
Forum mathematicum, 2020 We define solitons for the generalized Ricci flow on an exact Courant algebroid. We then define a family of flows for left-invariant Dorfman brackets on an exact Courant algebroid over a simply connected nilpotent Lie group, generalizing the bracket ...
Fabio Paradiso
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Isometry groups of six-dimensional filiform nilmanifolds [PDF]
International Journal of Group Theory, 2023 In this paper, we classify up to isometry the connected and simply connected Riemannian nilmanifolds on six-dimensional filiform Lie groups and we compute the corresponding isometry groups.
Agota Figula, Sameer Annon Abbas
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A classification of left-invariant Lorentzian metrics on some nilpotent Lie groups [PDF]
Tohoku mathematical journal, 2020 It has been known that there exist exactly three left-invariant Lorentzian metrics up to scaling and automorphisms on the three dimensional Heisenberg group.
Yuji Kondo, H. Tamaru
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On Einstein Lorentzian nilpotent Lie groups [PDF]
Journal of Pure and Applied Algebra, 2019 In this paper, we study Lorentzian left invariant Einstein metrics on nilpotent Lie groups. We show that if the center of such Lie groups is degenerate then they are Ricci-flat and their Lie algebras can be obtained by the double extension process from ...
M. Boucetta, O. Tibssirte
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Lower bound of Riesz transform kernels and commutator theorems on stratified nilpotent Lie groups [PDF]
Journal des Mathématiques Pures et Appliquées, 2018 We provide a study of the Riesz transforms on stratified nilpotent Lie groups, and obtain a certain version of the pointwise lower bound of the Riesz transform kernel.
X. Duong, Hong-Quan Li, Ji Li, B. Wick
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