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Embedding the Hopf Automorphism Group into the Brauer Group

Published online by Cambridge University Press:  20 November 2018

Fred Van Oystaeyen  and
Yinhuo Zhang
Fred Van Oystaeyen
Affiliation:
Department of Mathematics University of Antwerp (UIA) B-2610, Wilrijk Belgium
Yinhuo Zhang
Affiliation:
Department of Mathematics University of Antwerp (UIA) B-2610, Wilrijk Belgium
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Abstract

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Let $H$ be a faithfully projective Hopf algebra over a commutative ring $k$. In [8, 9] we defined the Brauer group $\text{BQ}(k,H)$ of $H$ and an homomorphism $\pi $ from Hopf automorphism group $\text{Au}{{\text{t}}_{\text{Hopf}}}(H)$ to $\text{BQ}(k,H)$. In this paper, we show that the morphism $\pi $ can be embedded into an exact sequence.

Keywords

16W3013A20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 3 , 01 September 1998 , pp. 359 - 367
Copyright
Copyright © Canadian Mathematical Society 1998

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