On Commutative Tensor Factors of Group Algebras

Simple item page
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemáticas
dc.contributor.authorGarcía Lucas, Diego
dc.contributor.authorRío Mateos, Ángel del
dc.contributor.authorSakurai, Taro
dc.date.accessioned2026-04-17T10:15:26Z
dc.date.available2026-04-17T10:15:26Z
dc.date.issued2026-02-06
dc.description.abstractWe prove that any tensor product factorization with a commutative tensor factor of a modular group algebra over a prime field comes from a direct product decomposition of the group basis. This extends previous work by Carlson and Kovács for the commutative case and answers one of their questions in certain cases.
dc.description.peerreviewedSI
dc.description.sponsorshipOpen Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. The first two authors have been partially supported by Grant PID2020-113206GB-I00 funded by MCIN/AEI/10.13039/501100011033 and by Grant Fundación Séneca 22004/PI/22.
dc.identifier.citationGarcía-Lucas, D., Río, Á. del, & Sakurai, T. (2026) On Commutative Tensor Factors of Group Algebras. Algebras and Representation Theory, 29, 153–160. https://doi.org/10.1007/s10468-026-10379-4
dc.identifier.doi10.1007/s10468-026-10379-4
dc.identifier.essn1572-9079
dc.identifier.issn1386-923X
dc.identifier.urihttps://hdl.handle.net/10347/46770
dc.journal.titleAlgebras and Representation Theory
dc.language.isoeng
dc.page.final160
dc.page.initial153
dc.publisherSpringer
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113206GB-I00/ES/METODOS EN ALGEBRA NO CONMUTATIVA Y APLICACIONES
dc.relation.publisherversionhttps://doi.org/10.1007/s10468-026-10379-4
dc.rights© TheAuthor(s) 2026. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
dc.rightsAttribution 4.0 International
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectGroup algebras
dc.subjectTensor factors
dc.subjectPositive characteristic
dc.subject.classificationInvestigación
dc.titleOn Commutative Tensor Factors of Group Algebras
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number29
dspace.entity.typePublication
relation.isAuthorOfPublicationd513864c-4ada-4d0a-adef-35aa7927d967
relation.isAuthorOfPublication.latestForDiscoveryd513864c-4ada-4d0a-adef-35aa7927d967

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
2026_algebras_garcia_commutative.pdf
Size:
263.03 KB
Format:
Adobe Portable Document Format
Download

Collections

Matemáticas