Duality of heights over quaternion algebras

Liebendörfer, Christine and Rémond, Gaël. (2005) Duality of heights over quaternion algebras. Monatshefte für Mathematik, 145. pp. 61-72.

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Given a number field K, it is well-known that the height of a subspace in KN and of its orthogonal complement coincide. We prove the analogous fact when K is replaced by a positive definite rational quaternion algebra with respect to the heights recently introduced by the first author. Since quaternion algebras are non-commutative, we cannot just follow the classical proof but have to work with localizations and certain finite rings.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik
UniBasel Contributors:Zehrt, Christine
Item Type:Article, refereed
Article Subtype:Research Article
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:10 Sep 2020 07:13
Deposited On:10 Sep 2020 07:13

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