test_moissonnage_selune
type: Agent

The Ring of Polynomial Functors of Prime Degree
type: Dataset
contact point: Organization
  fn: CCSD
keyword: schur-algebras
keyword: polynomial-functors
keyword: mathmath-rtmathematics-mathrepresentation-theory-mathrt
keyword: infoeu-reposemanticsarticle
keyword: mathmath-atmathematics-mathalgebraic-topology-mathat
keyword: brauer-tree-algebras
keyword: mathmath-grmathematics-mathgroup-theory-mathgr
keyword: recollement-diagram
keyword: green-orders
keyword: journal-articles
keyword: representation-type
keyword: 16h10-20c30-20j06-55r40
landing page: Transactions of the American Mathematical Society, Series B
description: Let $\hat\Z_p$ 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 $\hat \Z_p$-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.
issued: 2026-05-10T02:48:05.659797
language: en
modified: 2026-05-10T02:48:05.659802

The Ring of Polynomial Functors of Prime Degree
type: Distribution
access URL: https://hal.science/hal-00814553
format: HTML
issued: 2026-05-10T02:48:05.662737
modified: 2026-05-10T02:48:05.645601