Hopf Algebras Polynomial Formal Groups and Raynaud Orders is popular PDF and ePub book, written by Lindsay Childs in 1998, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Hopf Algebras Polynomial Formal Groups and Raynaud Orders can be Read Online from any device for your convenience.
Hopf Algebras Polynomial Formal Groups and Raynaud Orders Book PDF Summary
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.
Detail Book of Hopf Algebras Polynomial Formal Groups and Raynaud Orders PDF
- Author : Lindsay Childs
- Release : 02 July 1998
- Publisher : American Mathematical Soc.
- ISBN : 9780821810774
- Genre : Mathematics
- Total Page : 118 pages
- Language : English
- PDF File Size : 18,5 Mb
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