dc.creator | Dubuc, Eduardo Julio | |
dc.creator | kock, anders | |
dc.date.accessioned | 2021-07-22T17:09:18Z | |
dc.date.accessioned | 2022-10-15T01:24:49Z | |
dc.date.available | 2021-07-22T17:09:18Z | |
dc.date.available | 2022-10-15T01:24:49Z | |
dc.date.created | 2021-07-22T17:09:18Z | |
dc.date.issued | 2019-09 | |
dc.identifier | Dubuc, Eduardo Julio; kock, anders; Column symmetric polynomials; Amiens; Cahiers de Topologie Et Geometrie Differentielle Categoriques; 60; 3; 9-2019; 241-254 | |
dc.identifier | 0008-0004 | |
dc.identifier | http://hdl.handle.net/11336/136675 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4329631 | |
dc.description.abstract | Nous 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.abstract | We 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.language | eng | |
dc.publisher | Amiens | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/http://cahierstgdc.com/index.php/volume-lx/#3 | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/http://cahierstgdc.com/wp-content/uploads/2019/07/DUBUC_KOCK_LX-3.pdf | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | SYMMETRIC POLYNOMIALS | |
dc.subject | SYNTHETIC DIFFERENTIAL GEOMETRY | |
dc.title | Column symmetric polynomials | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |