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Non-Isomorphic Equivalent Azumaya Algebras

Published online by Cambridge University Press:  20 November 2018

Lindsay N. Childs
Lindsay N. Childs*
Affiliation:
Department of Mathematics and Statistics State University of New York at Albany Albany, NY 12222
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Abstract

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We explicitly describe an infinite collection of pairs of Azumaya algebras over the ring of integers of real quadratic number fields K which are maximal orders in the usual quaternion algebra over K, hence Brauer equivalent, but are not isomorphic. The result follows from an identification of the groups of norm one units, using the classification of Coxeter.

Keywords

16A1616A18
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 3 , 01 September 1987 , pp. 340 - 343
Copyright
Copyright © Canadian Mathematical Society 1987

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