English

On the decomposition of metabolic involutions

Rings and Algebras 2016-07-12 v1

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.

Keywords

Cite

@article{arxiv.1607.02591,
  title  = {On the decomposition of metabolic involutions},
  author = {Amir Hossein Nokhodkar},
  journal= {arXiv preprint arXiv:1607.02591},
  year   = {2016}
}