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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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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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Additional Information
  • Alexander Zimmermann
  • Affiliation: Département de Mathématiques et CNRS UMR 7352, Université de Picardie, 33 rue St Leu, F-80039 Amiens Cedex 1, France
  • MR Author ID: 326742
  • Email: alexander.zimmermann@u-picardie.fr
  • Received by editor(s): April 17, 2013
  • Received by editor(s) in revised form: July 29, 2013, and August 12, 2013
  • Published electronically: December 17, 2014
  • Additional Notes: This research was supported by a grant “PAI alliance” from the Ministère des Affaires Étrangères de France and the British Council. The author acknowledges support from STIC Asie of the Ministère des Affaires Étrangères de France
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 367 (2015), 7161-7192
  • MSC (2010): Primary 16H10; Secondary 20C30, 20J06, 55R40
  • DOI: https://doi.org/10.1090/S0002-9947-2014-06265-X
  • MathSciNet review: 3378827