On biquaternion algebras with involution of orthogonal type
A.-H. Nokhodkar
TL;DR
This paper studies the properties of biquaternion algebras with orthogonal involutions, focusing on pfaffians, classification in characteristic two, and criteria for metabolic involutions across different characteristics.
Contribution
It provides a classification of pfaffians in characteristic two and establishes a criterion for metabolic involutions on biquaternion algebras.
Findings
Classification of pfaffians in characteristic two
Criterion for metabolic involutions in arbitrary characteristic
Insights into involution structures on biquaternion algebras
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · Rings, Modules, and Algebras