Universal laws on simply connected step 2-nilpotent Lie groups
type: Item
instance of: scholarly article
title: Universal laws on simply connected step 2-nilpotent Lie groups
zbMATH Open document ID: 0844.43002
author: Yanyan Li
published in: Russian Mathematics
publication date: 1996-05-12T00:00:00Z
review text: Let \(G\) be a simply connected 2-step nilpotent Lie group, in particular the Heisenberg group, and \({\mathcal G}\) its Lie algebra. Each object \(\Xi\) on \(G\) can be identified with the corresponding object \(^0 \Xi\) on \({\mathcal G}\). The author proves the following analogue of Remark 3.4 of \textit{W. Hazod}'s paper [Ann. Inst. Henri Poincaré, Probab. Stat. 29, No. 3, 339-355 (1993; Zbl 0812.60013)]. Theorem. Let \(A \in \Aut(G)\). Then a probability measure \(\nu \in {\mathcal M}^1 (G)\) is \(A\)-universal if and only if \(^0 \nu\) is \(A\)-universal on \({\mathcal G}\).
Mathematics Subject Classification ID: 43A05
Mathematics Subject Classification ID: 60B15
zbMATH DE Number: 857528
zbMATH Keywords: \(A\)-universal
zbMATH Keywords: Lie group
zbMATH Keywords: Heisenberg group
zbMATH Keywords: Lie algebra
zbMATH Keywords: probability measure
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 857528