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Octonion Algebras over Rings Are Not Determined by their Norms

Published online by Cambridge University Press:  20 November 2018

Philippe Gille
Philippe Gille*
Affiliation:
UMR 8552 du CNRS, DMA, Ecole Normale Supérieure, F-75005 Paris, France e-mail: Philippe.Gille@ens.fr
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Abstract

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Answering a question of H. Petersson, we provide a class of examples of a pair of octonion algebras over a ring having isometric norms.

Keywords

14L2420G41Octonion algebrastorsorsdescent

Information

Type
Award Winners
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 2 , 14 June 2014 , pp. 303 - 309
Copyright
Copyright © Canadian Mathematical Society 2014

References

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