Polynomial Detection of Matrix Subalgebras

Simple item page
dc.creatorBirmajer, Daniel
dc.date2004-05-06
dc.date.accessioned2026-07-07T05:07:58Z
dc.date.available2026-07-07T05:07:58Z
dc.descriptionIt was proved by Giambruno-Sehgal and Chang that the double Capelli polynomial of total degree $4n$ is a polynomial identity for the algebra of n by n matrices over a field F. Using a strengthened version of this result obtained by Domokos, we show that the double Capelli polynomial of total degree 4n-2 is a polynomial identity for any proper matrix subalgebra. Subsequently, we present a similar result for nonsplit extensions of full matrix algebras.
dc.description6 pages, accepted in the Proceedings of the American Mathematical Society
dc.identifierhttps://arxiv.org/abs/math/0405102
dc.identifierhttp://arxiv.org/abs/math/0405102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71074
dc.subjectRings and Algebras
dc.subject16R10; 15A24
dc.titlePolynomial Detection of Matrix Subalgebras
dc.typetext

Files

Collections

arXiv