Hopf Algebras, Polynomial Formal Groups and Raynaud Orders
Seiten
1998
American Mathematical Society (Verlag)
978-0-8218-1077-4 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-1077-4 (ISBN)
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Gives two new methods for constructing $p$-elementary Hopf algebra orders over the valuation ring $R$ of a local field $K$ containing the $p$-adic rational numbers. This book features a method which constructs Hopf orders using isogenies of commutative degree 2 polynomial formal groups of dimension $n$.
This book gives two new methods for constructing $p$-elementary Hopf algebra orders over the valuation ring $R$ of a local field $K$ containing the $p$-adic rational numbers. One method constructs Hopf orders using isogenies of commutative degree 2 polynomial formal groups of dimension $n$, and is built on a systematic study of such formal group laws. The other method uses an exponential generalization of a 1992 construction of Greither. Both constructions yield Raynaud orders as iterated extensions of rank $p$ Hopf algebras; the exponential method obtains all Raynaud orders whose invariants satisfy a certain $p$-adic condition.
This book gives two new methods for constructing $p$-elementary Hopf algebra orders over the valuation ring $R$ of a local field $K$ containing the $p$-adic rational numbers. One method constructs Hopf orders using isogenies of commutative degree 2 polynomial formal groups of dimension $n$, and is built on a systematic study of such formal group laws. The other method uses an exponential generalization of a 1992 construction of Greither. Both constructions yield Raynaud orders as iterated extensions of rank $p$ Hopf algebras; the exponential method obtains all Raynaud orders whose invariants satisfy a certain $p$-adic condition.
Introduction to polynomial formal groups and Hopf algebras Dimension one polynomial formal groups Dimension two polynomial formal groups and Hopf algebras Degree two formal groups and Hopf algebras $p$-Elementary group schemes--Constructions and Raynaud's theory.
| Erscheint lt. Verlag | 1.2.1999 |
|---|---|
| Reihe/Serie | Memoirs of the American Mathematical Society |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 243 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
| ISBN-10 | 0-8218-1077-4 / 0821810774 |
| ISBN-13 | 978-0-8218-1077-4 / 9780821810774 |
| Zustand | Neuware |
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