Hopf Algebras, Polynomial Formal Groups and Raynaud Orders Paperback / softback
by Lindsay N. Childs, Cornelius Greither, David J. Moss, Jim Sauerberg, Karl Zimmermann
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
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Description
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.
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Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:118 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/1998
- Category:
- ISBN:9780821810774
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:118 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/1998
- Category:
- ISBN:9780821810774