A transchromatic proof of Strickland's theorem
Algebraic Topology
2014-04-04 v1
Abstract
In "Morava E-theory of symmetric groups", Strickland proved that the Morava E-theory of the symmetric group has an algebro-geometric interpretation after taking the quotient by a certain transfer ideal. This result has influenced most of the work on power operations in Morava E-theory and provides an important calculational tool. In this paper we give a new proof of this result as well as a generalization by using transchromatic character theory. The character maps are used to reduce Strickland's result to representation theory.
Keywords
Cite
@article{arxiv.1404.0717,
title = {A transchromatic proof of Strickland's theorem},
author = {Tomer M. Schlank and Nathaniel Stapleton},
journal= {arXiv preprint arXiv:1404.0717},
year = {2014}
}
Comments
26 pages