hal.structure.identifier	Institut de Mathématiques de Bordeaux [IMB]
dc.contributor.author	MARTINET, Jacques
dc.date.accessioned	2024-04-04T02:19:14Z
dc.date.available	2024-04-04T02:19:14Z
dc.date.created	2012-02-10
dc.identifier.uri	https://oskar-bordeaux.fr/handle/20.500.12278/189384
dc.description.abstractEn	Let $\Lb$ be a lattice in an $n$-dimensional Euclidean space $E$ and let $\Lb'$ be a Minkowskian sublattice of $\Lb$, that is, a sublattice having a basis made of representatives for the Minkowski successive minima of $\Lb$. We consider the set of possible quotients $\Lb/\Lb'$ which may exists in a given dimension or among not too large values of the index $[\Lb:\Lb']$, indeed $[\Lb:\Lb']\le 4$, or dimension $n\le 8$.
dc.language.iso	en
dc.title.en	On the index system of well-rounded lattices
dc.type	Document de travail - Pré-publication
dc.subject.hal	Mathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv	1202.2295
bordeaux.hal.laboratories	Institut de Mathématiques de Bordeaux (IMB) - UMR 5251	*
bordeaux.institution	Université de Bordeaux
bordeaux.institution	Bordeaux INP
bordeaux.institution	CNRS
hal.identifier	hal-00956656
hal.version	1
hal.audience	Non spécifiée
hal.origin.link	https://hal.archives-ouvertes.fr//hal-00956656v1
bordeaux.COinS	ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=MARTINET,%20Jacques&rft.genre=preprint

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On the index system of well-rounded lattices