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Representing the special linear group with block unitriangular matrices

We prove that every element of the special linear group can be represented as the product of at most six block unitriangular matrices, and that there exist matrices for which six products are necessary, independent of indexing. We present an analogous result for the general linear group. These resul...

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Detalles Bibliográficos
Autor principal: Urschel, John
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Oxford University Press 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10558096/
https://www.ncbi.nlm.nih.gov/pubmed/37811337
http://dx.doi.org/10.1093/pnasnexus/pgad311