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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCOULANGEON, Renaud
hal.structure.identifierLehrstuhl II für Mathematik
dc.contributor.authorNEBE, Gabriele
dc.date2019-11
dc.date.issued2019-11
dc.identifier.issn0021-2172
dc.description.abstractEnWe study the behaviour of the minimal slope of Euclidean lattices under tensor product. A general conjecture predicts that $\mu_{min}(L \otimes M) = \mu_{min}(L)\mu_{min}(M)$ for all Euclidean lattices $L$ and $M$. We prove that this is the case under the additional assumptions that $L$ and $M$ are acted on multiplicity-free by their automorphism group, such that one of them has at most $2$ irreducible components.
dc.language.isoen
dc.publisherSpringer
dc.title.enSlopes of Euclidean lattices, tensor product and group actions
dc.typeArticle de revue
dc.identifier.doi10.1007/s11856-019-1944-9
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv1806.04984
bordeaux.journalIsrael Journal of Mathematics
bordeaux.peerReviewedoui
hal.identifierhal-01943136
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01943136v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Israel%20Journal%20of%20Mathematics&rft.date=2019-11&rft.eissn=0021-2172&rft.issn=0021-2172&rft.au=COULANGEON,%20Renaud&NEBE,%20Gabriele&rft.genre=article


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