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Artículo
On higher dimensional cocyclic Hadamard matrices
dc.creator | Álvarez Solano, Víctor | |
dc.creator | Armario Sampalo, José Andrés | |
dc.creator | Frau García, María Dolores | |
dc.creator | Real Jurado, Pedro | |
dc.date.accessioned | 2016-03-17T10:56:38Z | |
dc.date.available | 2016-03-17T10:56:38Z | |
dc.date.issued | 2015 | |
dc.identifier.uri | http://hdl.handle.net/11441/38721 | |
dc.description.abstract | Provided that a cohomological model for G is known, we describe a method for constructing a basis for n-cocycles over G, from which the whole set of n-dimensional n-cocyclic matrices over G may be straightforwardly calculated. Focusing in the case n=2 (which is of special interest, e.g. for looking for cocyclic Hadamard matrices), this method provides a basis for 2-cocycles in such a way that representative 2-cocycles are calculated all at once, so that there is no need to distinguish between inflation and transgression 2-cocycles (as it has traditionally been the case until now). When n>2, this method provides an uniform way of looking for higher dimensional n-cocyclic Hadamard matrices for the first time. We illustrate the method with some examples, for n=2,3. In particular, we give some examples of improper 3-dimensional 3-cocyclic Hadamard matrices. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Applicable Algebra in Engineering, Communication and Computing, 26 (1), 191-206. | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | (Co)homological model | es |
dc.subject | Cocyclic matrix | es |
dc.subject | Proper | es |
dc.subject | improper higher dimensional Hadamard matrix | es |
dc.title | On higher dimensional cocyclic Hadamard matrices | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.identifier.doi | http://dx.doi.org/10.1007/s00200-014-0242-3 | es |
dc.journaltitle | Applicable Algebra in Engineering, Communication and Computing | es |
dc.publication.volumen | 26 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 191 | es |
dc.publication.endPage | 206 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/38721 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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On higher dimensional.pdf | 213.0Kb | [PDF] | Ver/ | |