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# Embedding the Hopf automorphism group into the Brauer group

Published:1998-09-01
Printed: Sep 1998
• Fred Van Oystaeyen
• Yinhuo Zhang
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## 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 act13A20 - unknown classification 13A20

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