On biquaternion algebras with orthogonal involution

AuthorsA. H. Nokhodkar
JournalTURK J MATH
Page number752-762
Serial number3
Volume number42
Paper TypeOriginal Research
Published At2018
Journal GradeScientific - research
Journal TypeElectronic
Journal CountryIran, Islamic Republic Of

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.