The Ring of Polynomial Functors of Prime Degree

2013/04/17 by Alexander Zimmermann, Zimmermann, Alexander
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #math.AT #math.GR #math.RT

paper · pdf · doi:10.48550/arxiv.1304.4850

arxiv created 2013/08/15 · arxiv updated 2013/08/16

Abstract

Let \Z_p be the ring of p-adic integers. We prove in the present paper that the category of polynomial functors from finitely generated free abelian groups to \Z_p-modules of degree at most p is equivalent to the category of finitely generated modules over a particularly well understood ring, called Green order. That this is the case was conjectured by Yuri Drozd.

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