English

Homogeneous strict polynomial functors as unstable modules

Algebraic Topology 2015-06-15 v2

Abstract

A relation between Schur algebras and Steenrod algebra is shown in [Hai10] where to each strict polynomial functor the author associates an unstable module. We show that the restriction of Hai's functor to the subcategory of strict polynomial functors of a given degree is fully faithfull.

Keywords

Cite

@article{arxiv.1407.5964,
  title  = {Homogeneous strict polynomial functors as unstable modules},
  author = {Nguyen The Cuong},
  journal= {arXiv preprint arXiv:1407.5964},
  year   = {2015}
}

Comments

In this version, the result is generalized to all prime number. The paper is shortened and restructured. More examples are given

R2 v1 2026-06-22T05:10:11.569Z