Möbius type semigroups in \(SL(2,F)\)
type: Item
instance of: scholarly article
title: Möbius type semigroups in \(SL(2,F)\)
zbMATH Open document ID: 0930.22004
author: Keunbae Choi
author: Yongdo Lim
published in: Semigroup Forum
publication date: 2000-02-07T00:00:00Z
review text: In this paper the authors extend known results about semigroups in SL\((2,{\mathbb R})\) to SL\((2,F)\) for \(F\) an ordered field by showing that each element of the subsemigroup \(S\) of SL\((2,F)\) having all entries non-negative admits a unique triple decomposition as a product of an upper triangular, a diagonal, and a lower triangular matrix. Furthermore, it is shown that the semigroup \(\pm S\) is a maximal subsemigroup of SL\((2,F)\).
Mathematics Subject Classification ID: 22A15
Mathematics Subject Classification ID: 22E20
zbMATH DE Number: 1356248
zbMATH Keywords: Lie semigroup
zbMATH Keywords: Lie group
zbMATH Keywords: special linear group
zbMATH Keywords: ordered field
reviewed by: Jimmie D. Lawson
MaRDI profile type: Publication
full work available at URL: s002339900063
OpenAlex ID: W1992762058
DOI: 10.1007/S002339900063
description: scientific article; zbMATH DE number 1356248