dc.creatorDubuc, Eduardo Julio
dc.creatorkock, anders
dc.date.accessioned2021-07-22T17:09:18Z
dc.date.accessioned2022-10-15T01:24:49Z
dc.date.available2021-07-22T17:09:18Z
dc.date.available2022-10-15T01:24:49Z
dc.date.created2021-07-22T17:09:18Z
dc.date.issued2019-09
dc.identifierDubuc, Eduardo Julio; kock, anders; Column symmetric polynomials; Amiens; Cahiers de Topologie Et Geometrie Differentielle Categoriques; 60; 3; 9-2019; 241-254
dc.identifier0008-0004
dc.identifierhttp://hdl.handle.net/11336/136675
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4329631
dc.description.abstractNous étudions l’algébre des polynômes en une m x n matrice de variables sur un anneau contenant les rationnels, sujette à la condition que le produit de deux variables appartenant à une même colonne est nul. Nous montrons que la sous-algèbre des polynômes invariants sous l’action des n! permutations des colonnes est un quotient de l’algèbre des polynômes en m variables; l’application quotient envoie la i-ème variable en la somme des entrèes de la i- ème ligne de la matrice. Une application en gèomètrie diffèrentielle synthètique est esquissèe.
dc.description.abstractWe study the polynomial algebra (over a ring containing the rationals)in an m by n matrix of variables, and subject to the relation that saysthat the product of any two variables in the same column is zero. Weshow that the sub-algebra of polynomials, which are invariant under the n! permutations of the columns, is a quotient of the polynomial algebra in m variables; the quotient map sends the i´th variable to the sum of the entries in the i´th row of the matrix. An application in synthetic differential geometry is sketched.
dc.languageeng
dc.publisherAmiens
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://cahierstgdc.com/index.php/volume-lx/#3
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://cahierstgdc.com/wp-content/uploads/2019/07/DUBUC_KOCK_LX-3.pdf
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectSYMMETRIC POLYNOMIALS
dc.subjectSYNTHETIC DIFFERENTIAL GEOMETRY
dc.titleColumn symmetric polynomials
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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