Potter, Wielandt, and Drazin on the matrix equation $AB=ωBA$, with some new answers to old questions

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dc.creatorHoltz, Olga
dc.creatorMehrmann, Volker
dc.creatorSchneider, Hans
dc.date2005-12-27
dc.date.accessioned2026-07-07T06:55:48Z
dc.date.available2026-07-07T06:55:48Z
dc.descriptionIn this partly historical and partly research oriented note, we display a page of an unpublished mathematical diary of Helmut Wielandt's for 1951. There he gives a new proof of a theorem due to H. S. A. Potter on the matrix equation $AB = ωBA$, which is related to the $q$-binomial theorem, and asks some further questions, which we answer. We also describe results by M. P. Drazin and others on this equation.
dc.description18 pages, 1 picture, 1 facsimile. A shorter version of this paper is published in Amer. Math. Monthly 111 (2004), no. 8, 655--667
dc.identifierhttps://arxiv.org/abs/math/0512607
dc.identifierhttp://arxiv.org/abs/math/0512607
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106405
dc.subjectRings and Algebras
dc.subjectHistory and Overview
dc.subject15A27, 15A24, 01A70
dc.titlePotter, Wielandt, and Drazin on the matrix equation $AB=ωBA$, with some new answers to old questions
dc.typetext

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