Show simple item record

dc.contributor.authorBrox, Jose
dc.contributor.authorRizzo, Carla
dc.date.accessioned2024-03-14T12:31:55Z
dc.date.available2024-03-14T12:31:55Z
dc.date.issued2024
dc.identifier.citationUniversidad de Valladolid, Facultad de Cienciases
dc.identifier.urihttps://uvadoc.uva.es/handle/10324/66696
dc.descriptionProducción Científicaes
dc.description.abstractWe study the differential identities of the algebra Mk(F) of k x k matrices over a field F of characteristic zero when its full Lie algebra of derivations, L=Der(Mk(F)), acts on it. We determine a set of 2 generators of the ideal of differential identities of Mk(F) for k>1. Moreover, we obtain the exact values of the corresponding differential codimensions and differential cocharacters. Finally we prove that, unlike the ordinary case, the variety of differential algebras with L-action generated by Mk(F) has almost polynomial growth for all k>1.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenges
dc.publisherUniversidad de Valladolid, Facultad de Cienciases
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.subjectMatemáticases
dc.subject.classificationpolynomial identity, differential identity, matrix algebra, universal enveloping algebra, variety of algebras, codimension growth, cocharacteres
dc.titleDifferential identities of matrix algebrases
dc.typeinfo:eu-repo/semantics/articlees
dc.peerreviewedNOes
dc.description.projectEste trabajo forma parte del proyecto de investigación: MCIN/AEI grant PID2022-137283NB-C22 y ERDF ``A way of making Europe''. También del proyecto portugués "Centre for Mathematics of the University of Coimbra" UIDB/00324/2020es
dc.type.hasVersioninfo:eu-repo/semantics/submittedVersiones
dc.subject.unesco1201.11 Teoría de Matriceses
dc.subject.unesco1201.13 Polinomioses
dc.subject.unesco1201.05 Campos, Anillos, Álgebrases
dc.subject.unesco1201.09 Álgebra de Liees


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record