Polynomial Functors of Modules
Representation Theory
2015-09-24 v3 Algebraic Topology
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1205.0576,
title = {Polynomial Functors of Modules},
author = {Qimh Richey Xantcha},
journal= {arXiv preprint arXiv:1205.0576},
year = {2015}
}