Slopes of Euclidean lattices, tensor product and group actions
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | COULANGEON, Renaud | |
hal.structure.identifier | Lehrstuhl II für Mathematik | |
dc.contributor.author | NEBE, Gabriele | |
dc.date | 2019-11 | |
dc.date.issued | 2019-11 | |
dc.identifier.issn | 0021-2172 | |
dc.description.abstractEn | We 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.iso | en | |
dc.publisher | Springer | |
dc.title.en | Slopes of Euclidean lattices, tensor product and group actions | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1007/s11856-019-1944-9 | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
dc.identifier.arxiv | 1806.04984 | |
bordeaux.journal | Israel Journal of Mathematics | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-01943136 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01943136v1 | |
bordeaux.COinS | ctx_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 |
Files in this item
Files | Size | Format | View |
---|---|---|---|
There are no files associated with this item. |