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Primitively generated Hopf orders in characteristic $p$ | Alan Koch
; | Date: |
24 Sep 2015 | Abstract: | Let $R$ be a characteristic $p$ discrete valuation ring with field of
fractions $K$. Let $H$ be a commutative, cocommutative $K$-Hopf algebra of
$p$-power rank which is generated as a $K$-algebra by primitive elements. We
construct all of the $R$-Hopf orders of $H$ in $K$; each Hopf order corresponds
to a solution to a single matrix equation. For $R$ complete, we give explicit
examples of Hopf orders in some rank $p^2$ $K$-Hopf algebras. | Source: | arXiv, 1509.7393 | Services: | Forum | Review | PDF | Favorites |
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