Quadratic descent of totally decomposable orthogonal involutions in characteristic two

TL;DR

This paper studies how totally decomposable orthogonal involutions in characteristic two behave under quadratic descent, considering both separable and inseparable field extensions.

Contribution

It provides a comprehensive analysis of quadratic descent for these involutions in characteristic two, including cases of inseparable extensions.

Findings

Quadratic descent is characterized for totally decomposable orthogonal involutions in characteristic two.

Both separable and inseparable extensions are effectively included in the analysis.

Results extend understanding of involution behavior in characteristic two fields.

Abstract

We investigate the quadratic descent of totally decomposable algebras with involution of orthogonal type in characteristic two. Both separable and inseparable extensions are included.