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

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

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

Keywords

Character theory
Chromatic homotopy
Morava E-theory

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.aim.2015.07.025

Cite this

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title = "A transchromatic proof of Strickland's theorem",

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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AU - Stapleton, Nathaniel

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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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DO - 10.1016/j.aim.2015.07.025

M3 - مقالة

SN - 0001-8708

VL - 285

SP - 1415

EP - 1447

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

A transchromatic proof of Strickland's theorem

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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