Classification of plethories in characteristic zero
(English)Manuscript (preprint) (Other academic)
We classify plethories over fields of characteristic zero, thus answering a question of Borger-Wieland and Bergman. All plethories over characteristic zero fields are linear, in the sense that they are free plethories on a bialgebra. For the proof we need some facts from the theory of ring schemes where we extend previously known results. We also classify plethories with trivial Verschiebung over a perfect field of non-zero characteristic and indicate future work.
IdentifiersURN: urn:nbn:se:kth:diva-177184OAI: oai:DiVA.org:kth-177184DiVA: diva2:871805
QS 20152015-11-172015-11-172015-11-17Bibliographically approved