English

On biquaternion algebras with involution of orthogonal type

Rings and Algebras 2017-08-01 v3

Abstract

We investigate the pfaffians of decomposable biquaternion algebras with involution of orthogonal type. In characteristic two, a classification of these algebras in terms of their pfaffians and some other related invariants is studied. Also, in arbitrary characteristic, a criterion is obtained for an orthogonal involution on a biquaternion algebra to be metabolic.

Keywords

Cite

@article{arxiv.1508.02038,
  title  = {On biquaternion algebras with involution of orthogonal type},
  author = {A. -H. Nokhodkar},
  journal= {arXiv preprint arXiv:1508.02038},
  year   = {2017}
}