Representing classes in the Brauer group of quadratic number rings as smash products

Lindsay Nathan Childs

Vol. 129 (1987), No. 2, 243–255

DOI: 10.2140/pjm.1987.129.243

Abstract

Azumaya algebras may be constructed as smash products of Galois objects with respect to a dual pair of Hopf algebras. In this paper we explore how useful this construction is for representing the non-trivial class in the Brauer group of a real quadratic number field.

Mathematical Subject Classification 2000

Primary: 16A16, 16A16

Secondary: 11R34, 12G05

Milestones

Received: 28 March 1986

Published: 1 October 1987