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Item Details
| Title:
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HOPF ALGEBRAS, POLYNOMIAL FORMAL GROUPS AND RAYNAUD ORDERS
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| By: |
Lindsay N. Childs, Cornelius Greither, David J. Moss |
| Format: |
Paperback |
| List price:
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£46.95 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821810774 |
| ISBN 13: |
9780821810774 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 October, 1998 |
| Series: |
Memoirs of the American Mathematical Society No. 651 |
| Pages: |
118 |
| Description: |
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 $n$. |
| Synopsis: |
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. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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