Some strictly infinitesimally generated semigroups
type: Item
instance of: scholarly article
title: Some strictly infinitesimally generated semigroups
zbMATH Open document ID: 0915.22001
author: Inheung Chon
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1999-06-28T00:00:00Z
review text: A subsemigroup \(S\) of a Lie group \(G\) is said to be strictly infinitesimally generated if it is generated (as a semigroup) by a family of one-parameter semigroups. In this paper the author reviews the elementary Lie theory of such semigroups and establishes by direct computation that several classes of semigroups are infinitesimally generated including the expansion semigroup and contraction semigroup of Euclidean \(n\)-space, the semigroup of upper (or lower) triangular stochastic matrices and certain semigroups of totally positive matrices. In each case the author also computes the tangent wedge (in the Lie algebra) of these semigroups.
Mathematics Subject Classification ID: 22A15
Mathematics Subject Classification ID: 22E15
Mathematics Subject Classification ID: 22E60
zbMATH DE Number: 1283839
zbMATH Keywords: semigroup
zbMATH Keywords: Lie semigroup
zbMATH Keywords: Lie group
zbMATH Keywords: Lie algebra
reviewed by: Jimmie D. Lawson
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1283839