On the decomposition of metabolic involutions

2016/07/09 by Nokhodkar, Amir Hossein
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1607.02591

Abstract

The problem of whether a metabolic idempotent of a central simple algebra with involution is contained in an invariant quaternion subalgebra is investigated. As an application, the similar problem is studied for skew-symmetric elements whose squares lie in the square of the underlying field.

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