A transchromatic proof of Strickland's theorem

Tomer M. Schlank; Nathaniel Stapleton

doi:10.1016/j.aim.2015.07.025

A transchromatic proof of Strickland's theorem

Tomer M. Schlank
, Nathaniel Stapleton^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In [15] 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.

Original language	English
Pages (from-to)	1415-1447
Number of pages	33
Journal	Advances in Mathematics
Volume	285
DOIs	https://doi.org/10.1016/j.aim.2015.07.025
State	Published - 5 Nov 2015

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Inc.

Keywords

Character theory
Chromatic homotopy
Morava E-theory

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10.1016/j.aim.2015.07.025

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abstract = "In [15] 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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AB - In [15] 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.

KW - Character theory

KW - Chromatic homotopy

KW - Morava E-theory

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A transchromatic proof of Strickland's theorem

Abstract

Bibliographical note

Keywords

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