The ring of polynomial functors of prime degree

Zimmermann, Alexander

doi:10.1090/S0002-9947-2014-06265-X

The ring of polynomial functors of prime degree
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by Alexander Zimmermann PDF

Trans. Amer. Math. Soc. 367 (2015), 7161-7192 Request permission

Abstract:

Let $\hat {\mathbb {Z}}_p$ 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 $\hat {\mathbb {Z}}_p$-modules of degree at most $p$ is equivalent to the category of modules over a particularly well understood ring, called Green order. This case was conjectured by Yuri Drozd.

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