<?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>0120-419X</journal-id>
<journal-title><![CDATA[Revista Integración]]></journal-title>
<abbrev-journal-title><![CDATA[Integración - UIS]]></abbrev-journal-title>
<issn>0120-419X</issn>
<publisher>
<publisher-name><![CDATA[Universidad Industrial de Santander]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-419X2023000100043</article-id>
<article-id pub-id-type="doi">10.18273/revint.v41n1-2023003</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[An Introduction to Spinor Di&#64256;erential and Integral Calculus from q-Lorentzian Algebra]]></article-title>
<article-title xml:lang="es"><![CDATA[Una Introducción al Cálculo Diferencial e Integral Espinorial a partir de la q-Álgebra Lorentziana.]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[JARAMILLO QUICENO]]></surname>
<given-names><![CDATA[JULIO CESAR]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional de Colombia  ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2023</year>
</pub-date>
<volume>41</volume>
<numero>1</numero>
<fpage>43</fpage>
<lpage>55</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-419X2023000100043&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-419X2023000100043&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-419X2023000100043&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract. In this paper we introduce the di&#64256;erential and integral calculus from q-Lorentzian algebra. We establish the q-spinorial variables, the q-di&#64256;erential calculus and the q-complex spinorial integrals. We also define the q-spinor di&#64256;erential equation and the q-Lorentzian spinor di&#64256;erential equation. Some comments are presented at the end of the paper.  MSC2010:  81Q99, 46E99, 35A24, 15A66, 16T99, 17B37.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen. En este artículo introducimos el cálculo diferencial e integral a partir de la q-álgebra lorentziana. Establecemos las q-variables espinoriales, el q-cálculo diferencial y las q-integrales espinoriales complejas. También definimos la q-ecuación diferencial espinorial y la q-ecuación diferencial espinorial lorentziana. En el final del artículo se presentan algunos comentarios.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[q-Lorentzian algebra]]></kwd>
<kwd lng="en"><![CDATA[q-spinor derivative and integral]]></kwd>
<kwd lng="en"><![CDATA[di&#64256;erential spinor equation]]></kwd>
<kwd lng="es"><![CDATA[q-álgebra Lorentziana]]></kwd>
<kwd lng="es"><![CDATA[q-derivada e integral espinorial]]></kwd>
<kwd lng="es"><![CDATA[ecuación diferencial espinorial]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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