Hopf Algebras, Polynomial Formal Groups and Raynaud Orders - Memoirs of the American Mathematical Society (Paperback)Lindsay N. Childs (author), Cornelius Greither (author), David J. Moss (author), Jim Sauerberg (author), Karl Zimmermann (author)
Paperback 118 Pages / Published: 30/10/1998
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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.
Publisher: American Mathematical Society
Number of pages: 118
Weight: 241 g
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