Symmetric powers, Steenrod operations and representation stability
Algebraic Topology
2019-02-14 v2
Abstract
Working over the prime field F_p, the structure of the indecomposables Q^* for the action of the algebra of Steenrod reduced powers A(p) on the symmetric power functors S^* is studied by exploiting the theory of strict polynomial functors. In particular, working at the prime 2, representation stability is exhibited for certain related functors, leading to a conjectural representation stability description of quotients of Q^* arising from the polynomial filtration of symmetric powers.
Cite
@article{arxiv.1809.08781,
title = {Symmetric powers, Steenrod operations and representation stability},
author = {Geoffrey Powell},
journal= {arXiv preprint arXiv:1809.08781},
year = {2019}
}
Comments
Revised version (with modified title), focusing upon the core material; now 20 pages