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Perfect Lattices over Imaginary Quadratic Number Fields

hal.structure.identifierLehrstuhl II für Mathematik [Aachen]
dc.contributor.authorBRAUN, Oliver
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCOULANGEON, Renaud
dc.date.accessioned2024-04-04T02:18:24Z
dc.date.available2024-04-04T02:18:24Z
dc.date.created2013-04-02
dc.date.issued2014
dc.identifier.issn0025-5718
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189309
dc.description.abstractEnWe present an adaptation of Voronoi theory for imaginary quadratic number fields of class number greater than 1. This includes a characterisation of extreme Hermitian forms which is analogous to the classic characterisation of extreme quadratic forms as well as a version of Voronoi's famous algorithm which may be used to enumerate all perfect Hermitian forms for a given imaginary quadratic number field in dimensions 2 and 3. We also present an application of the algorithm which allows to determine generators of the general linear group of an $\O_K$-lattice.
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.title.enPerfect Lattices over Imaginary Quadratic Number Fields
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv1304.0559
bordeaux.journalMathematics of Computation
bordeaux.page21 pages
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00984171
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00984171v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematics%20of%20Computation&rft.date=2014&rft.spage=21%20pages&rft.epage=21%20pages&rft.eissn=0025-5718&rft.issn=0025-5718&rft.au=BRAUN,%20Oliver&COULANGEON,%20Renaud&rft.genre=article


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