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arXiv · 1404.0717

A transchromatic proof of Strickland's theorem

Tomer M. Schlank·Nathaniel Stapleton
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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.

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Tomer M. Schlank, Nathaniel Stapleton. 2014-04-02. A transchromatic proof of Strickland's theorem. https://arxiv.org/abs/1404.0717

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