We compute the total power operation for the Morava E-theory of any finite group up to torsion. Our formula is stated in terms of the GLn (ℚp)-action on the Drinfel’d ring of full level structures on the formal group associated to E-theory. It can be specialized to give explicit descriptions of many classical operations. Moreover, we show that the character map of Hopkins, Kuhn and Ravenel from E-theory to GLn(ℤp)-invariant generalized class functions is a natural transformation of global power functors on finite groups.
|Number of pages||56|
|Journal||Geometry and Topology|
|State||Published - Feb 10 2017|
Bibliographical notePublisher Copyright:
© 2017, Mathematical Sciences Publishers. All rights reserved.
- Generalized character theory
- Morava E-theory
- Power operations
ASJC Scopus subject areas
- Geometry and Topology