On the extensions of infinite-dimensional representations of Lie semigroups
type: Item
instance of: scholarly article
title: On the extensions of infinite-dimensional representations of Lie semigroups
zbMATH Open document ID: 1003.43006
DOI: 10.1155/S0161171202011559
author: A. R. Mirotin
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/49685
full work available at URL: S0161171202011559.html
review text: Let \(G\) denote a connected Lie group, \(L(G)\) its Lie algebra and \(exp: L(G) \to G\) its exponential function. For a closed subsemigroup \(S\) of \(G\) its tangent wedge is defined by \(L(S) = \{ X \in L(G):\exp(\mathbb R^+ X) \subseteq S \}\). Necessary and sufficient conditions are obtained for the extendability of a Banach representation of a generating Lie semigroup \(S\) to a local representation of the Lie group generated by \(S\) (i.e. \(L(S)\) is the smallest Lie algebra containing \(L(G))\).
Mathematics Subject Classification ID: 43A65
Mathematics Subject Classification ID: 22E99
zbMATH DE Number: 1780333
zbMATH Keywords: Lie group
zbMATH Keywords: Banach representation
MaRDI profile type: Publication
OpenAlex ID: W2032912482
description: scientific article; zbMATH DE number 1780333