Realizable hopf algebras killed by [p] over a discrete valuation ring
Author
Source
The Arabian Journal for Science and Engineering. Section C, Theme issues
Issue
Vol. 33, Issue 2C(s) (31 Dec. 2008), pp.315-323, 9 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2008-12-31
Country of Publication
Saudi Arabia
No. of Pages
9
Main Subjects
Topics
Abstract AR
لتكن R حلقة تثمين منفصلة مميز ها صفر، و K حقل كسورها، و ليكن حقل البواقي و ذا مميز 2 < P : نصف بوساطة معايير Breuil جبريات Hopf المنبسطة المحدودة الإبدالية و الإبدالية تصاحبيا المحلية – المحلية – المعرفة على R – و التي قتلت ب [P] : H → H، حيث S/R امتداد Hopf-Galois لحلقة تثمين منفصلة S يتشعب حقل كسورها كليا على K.
كل جبرية Hopf يمكن تحقيقها بهذا الشكل، ستكون بالضرورة ثنوية لجبرية Hopf أحادية الأصل.
حصلنا على هذا التصنيف برفع جبريات Hopf معينة معروفة على K إلى جبريات Hopf معرفة على R.
سنقدم مقياسا لكون معياري Breuil متشاكلين تقابليا.
Abstract EN
Let R be a discrete valuation ring of characteristic zero with field of fractions K and perfect residue field k of characteristic p > 2.
We describe, in terms of Breuil modules, the finite flat abelian local-local R-Hopf algebras H killed by [p] : H → H such that S/R is a Hopf-Galois extension for some discrete valuation ring S whose field of fractions is totally ramified over K.
Each such “realizable” Hopf algebra is necessarily dual to a monogenic Hopf algebra.
The classification is obtained by lifting certain k-Hopf algebras to R.
We give a criterion for two such Breuil modules to be isomorphic.
American Psychological Association (APA)
Koch, Alan. 2008. Realizable hopf algebras killed by [p] over a discrete valuation ring. The Arabian Journal for Science and Engineering. Section C, Theme issues،Vol. 33, no. 2C(s), pp.315-323.
https://search.emarefa.net/detail/BIM-359117
Modern Language Association (MLA)
Koch, Alan. Realizable hopf algebras killed by [p] over a discrete valuation ring. The Arabian Journal for Science and Engineering. Section C, Theme issues Vol. 33, no. 2C(s) (Dec. 2008), pp.315-323.
https://search.emarefa.net/detail/BIM-359117
American Medical Association (AMA)
Koch, Alan. Realizable hopf algebras killed by [p] over a discrete valuation ring. The Arabian Journal for Science and Engineering. Section C, Theme issues. 2008. Vol. 33, no. 2C(s), pp.315-323.
https://search.emarefa.net/detail/BIM-359117
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 323
Record ID
BIM-359117
