Polynomial Functors of Modules

2012/05/02 by Qimh Richey Xantcha, Xantcha, Qimh Richey
Mathematics · Physics and Astronomy · #18A25 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Primary: 16D90 #Representation Theory (math.RT) #Rings and Algebras (math.RA) #Secondary: 13C60

paper · pdf · doi:10.48550/arxiv.1205.0576

openalex publication_date 2012/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the notion of numerical functors to generalise Eilenberg & MacLane's polynomial functors to modules over a binomial base ring. After shewing how these functors are encoded by modules over a certain ring, we record a precise criterion for a numerical (or polynomial) functor to admit a strict polynomial structure in the sense of Friedlander & Suslin. We also provide several characterisations of analytic functors.

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