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Embedding the Hopf automorphism group into the Brauer group |
Canad. Math. Bull. 41(1998), 359-367
Published:1998-09-01
Printed: Sep 1998
Printed: Sep 1998
- Fred Van Oystaeyen
- Yinhuo Zhang
Abstract
Let $H$ be a faithfully projective Hopf algebra over a commutative
ring $k$. In \cite{CVZ1, CVZ2} we defined the Brauer group
$\BQ(k,H)$ of $H$ and an homomorphism $\pi$ from Hopf automorphism
group $\Aut_{\Hopf}(H)$ to $\BQ(k,H)$. In this paper, we show that
the morphism $\pi$ can be embedded into an exact sequence.
| MSC Classifications: |
16W30 - Coalgebras, bialgebras, Hopf algebras (See also 16S40, 57T05); rings, modules, etc. on which these act 13A20 - unknown classification 13A20 |