2005/12/27 by Olga Holtz, Volker Mehrmann, Holtz, Olga +3
Mathematics · #01A70 #15A24 #15A27 #FOS: Mathematics #History and Overview (math.HO) #Rings and Algebras (math.RA) #math.HO #math.RA #msc:01A70 #msc:15A24 #msc:15A27
paper · pdf · doi:10.48550/arxiv.math/0512607
18 pages, 1 picture, 1 facsimile. A shorter version of this paper is published in Amer. Math. Monthly 111 (2004), no. 8, 655--667
arxiv created 2005/12/27 · arxiv updated 2009/12/01
In this partly historical and partly research oriented note, we display a page of an unpublished mathematical diary of Helmut Wielandt's for 1951.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.