<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0034-7426</journal-id>
<journal-title><![CDATA[Revista Colombiana de Matemáticas]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.colomb.mat.]]></abbrev-journal-title>
<issn>0034-7426</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0034-74262017000100043</article-id>
<article-id pub-id-type="doi">10.15446/recolma.v51n1.66834</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[On non-abelian representations of Baumslag-Solitar groups]]></article-title>
<article-title xml:lang="es"><![CDATA[Representaciones no Abelianas de los Grupos de Baumslag-Solitar]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rodríguez-Nieto]]></surname>
<given-names><![CDATA[José Gregorio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional de Colombia Facultad de Ciencias Escuela de Matemáticas]]></institution>
<addr-line><![CDATA[Medellín ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2017</year>
</pub-date>
<volume>51</volume>
<numero>1</numero>
<fpage>43</fpage>
<lpage>56</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0034-74262017000100043&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0034-74262017000100043&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0034-74262017000100043&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT The goal of this paper is to study the set of non-abelian representations  (nab-rep) of the Baumslag-Solitar groups,   with n,m non zero integers, into SL(2, ). We use such information in order to show, which it is well known, that for |m| &gt; 1, BS(1, m) is a linear group. Moreover, we prove that its representation image into the Möbius transformations is an elementary and non discrete subgroup.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN El proposito de este artículo es estudiar el conjunto de las representaciones no abelianas  (nab-rep) de los grupos de Baumslag-Solitar,   donde n, m son enteros distintos de cero, en SL(2,). Usamos tal información para verificar, que ya es bien sabido, que BS(1, m) es un grupo lineal, para |m| &gt; 1. Mas aun, probamos que su representacion en las transformaciones de Möbius es un subgrupo elemental y no es discreto Möbius.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Representations of Baumslag-Solitar groups]]></kwd>
<kwd lng="en"><![CDATA[Baumslagsolitar groups]]></kwd>
<kwd lng="en"><![CDATA[Parabolic represeOriginals articlessntations]]></kwd>
<kwd lng="en"><![CDATA[Elliptic representations]]></kwd>
<kwd lng="en"><![CDATA[Affine varieties]]></kwd>
<kwd lng="en"><![CDATA[Affine algebraic sets]]></kwd>
<kwd lng="es"><![CDATA[Representationes de los grupos de Baumslag-Solitar]]></kwd>
<kwd lng="es"><![CDATA[Grupos de Baumslag-Solitar]]></kwd>
<kwd lng="es"><![CDATA[Representaciones parabolicas]]></kwd>
<kwd lng="es"><![CDATA[Representaciones elipticas]]></kwd>
<kwd lng="es"><![CDATA[Variedades afines]]></kwd>
<kwd lng="es"><![CDATA[Conjuntos algebraicos afines]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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