Deformation Theory of Non-Commutative Formal Groups in Positive Characteristic

Persistent Link:
http://hdl.handle.net/10150/193802
Title:
Deformation Theory of Non-Commutative Formal Groups in Positive Characteristic
Author:
Leitner, Frederick Carl
Issue Date:
2005
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
We discuss the deformation theory of non-commutative formal groups G in positive characteristic. Under a geometric assumption on G, we produce a commutative formal group H whose distribution bialgebra has a certain skewed Poisson structure. This structure gives first order deformation data which integrates to the distribution bialgebra of G.
Type:
text; Electronic Dissertation
Keywords:
Formal Groups; Positive Characterisitc; Noncommutative
Degree Name:
PhD
Degree Level:
doctoral
Degree Program:
Mathematics; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
Kim, Minhyong

Full metadata record

DC FieldValue Language
dc.language.isoENen_US
dc.titleDeformation Theory of Non-Commutative Formal Groups in Positive Characteristicen_US
dc.creatorLeitner, Frederick Carlen_US
dc.contributor.authorLeitner, Frederick Carlen_US
dc.date.issued2005en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractWe discuss the deformation theory of non-commutative formal groups G in positive characteristic. Under a geometric assumption on G, we produce a commutative formal group H whose distribution bialgebra has a certain skewed Poisson structure. This structure gives first order deformation data which integrates to the distribution bialgebra of G.en_US
dc.typetexten_US
dc.typeElectronic Dissertationen_US
dc.subjectFormal Groupsen_US
dc.subjectPositive Characterisitcen_US
dc.subjectNoncommutativeen_US
thesis.degree.namePhDen_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.chairKim, Minhyongen_US
dc.contributor.committeememberKim, Minhyongen_US
dc.contributor.committeememberUlmer, Douglasen_US
dc.contributor.committeememberBressler, Paulen_US
dc.contributor.committeememberLux, Klausen_US
dc.contributor.committeememberVasiu, Adrianen_US
dc.identifier.proquest1234en_US
dc.identifier.oclc137354524en_US
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