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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.
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| $99.99 | Digital |
| WonderClub |
James Frye
reviewed Hopf algebras, polynomial formal groups, and Raynaud orders on May 23, 2016
Hopf algebras
In Arnold's poem, "Introit," she offers the image of a river roiling--a river that might be, in the end, aware of its own long history. This particular river broke through a stone barrier to make a new path to the sea. I admit I was lured into the book by this opening image. There is no explanation for why this area of the land would have to be where the river meets the ocean. Arnold was establishing, for me, a logic of natural action, whose logical basis is irrationality. As I read further into the book, I started to see this analogy relating to the sickness that broke into her life. And, at that point, I was invested in what Arnold might do. Unfortunately, by the third section, that urgency surrounding the sickness gave way to a series of unsubtle ruminations about how difficult sickness is. It could be I'm skeptical about the assumed intimacy in confessional poetry, or maybe I'm just worried by what exigence there is in confessionalism.
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Add Hopf algebras, polynomial formal groups, and Raynaud orders, 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 polyno, Hopf algebras, polynomial formal groups, and Raynaud orders to the inventory that you are selling on WonderClubX
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Add Hopf algebras, polynomial formal groups, and Raynaud orders, 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 polyno, Hopf algebras, polynomial formal groups, and Raynaud orders to your collection on WonderClub |