Hopf algebras, polynomial formal groups, and Raynaud orders
著者
書誌事項
Hopf algebras, polynomial formal groups, and Raynaud orders
（Memoirs of the American Mathematical Society, no. 651）
American Mathematical Society, 1998
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注記
"November 1998, volume 136, number 651 (end of volume)." -- t.p.
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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.
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