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Classification of plethories in characteristic zero
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.). (Algebra and Geometry)ORCID iD: 0000-0002-0588-9369
2015 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

We classify plethories over fields of characteristic zero, thus answering a question of Borger-Wieland and Bergman-Hausknecht. 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. 

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2015. , vii, 11 p.
Series
TRITA-MAT-A, 2015:13
Keyword [en]
Plethories, Witt vectors, ring schemes
National Category
Algebra and Logic
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-177021ISBN: 978-91-7595-775-3 (print)OAI: oai:DiVA.org:kth-177021DiVA: diva2:869205
Presentation
2015-12-07, 3418, Lindstedtsvägen 25, KTH, Stockholm, 10:00 (English)
Opponent
Supervisors
Note

QC 20151117

Available from: 2015-11-17 Created: 2015-11-13 Last updated: 2015-11-17Bibliographically approved
List of papers
1. Classification of plethories in characteristic zero
Open this publication in new window or tab >>Classification of plethories in characteristic zero
(English)Manuscript (preprint) (Other academic)
Abstract [en]

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.

Identifiers
urn:nbn:se:kth:diva-177184 (URN)
Note

QS 2015

Available from: 2015-11-17 Created: 2015-11-17 Last updated: 2015-11-17Bibliographically approved

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Carlson, Magnus

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Citation style
  • apa
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More styles
Language
  • de-DE
  • en-GB
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  • nn-NB
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  • Other locale
More languages
Output format
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