Remarks on the Cayley-Hamilton Theorem

2015/10/11 by Letterio Gatto, Gatto, Letterio, Inna Scherbak +1
Mathematics · #13N15 #15A75 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:13N15 #msc:15A75

paper · pdf · doi:10.48550/arxiv.1510.03022

10 pages

arxiv created 2015/10/11 · openalex publication_date 2015/10/11 · arxiv updated 2015/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We revisit the classical theorem by Cayley and Hamilton, "\em each endomorphism is a root of its own characteristic polynomial", from the point of view of \em Hasse--Schmidt derivations on an exterior algebra

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