| Authors | A. H. Nokhodkar |
|---|---|
| Journal | MANUSCRIPTA MATH |
| Page number | 429--440 |
| Serial number | 3 |
| Volume number | 154 |
| Paper Type | Original Research |
| Published At | 2017 |
| Journal Grade | Scientific - research |
| Journal Type | Typographic |
| Journal Country | Iran, Islamic Republic Of |
Abstract
We associate to every central simple algebra with involution of orthogonal type in characteristic two a totally singular quadratic form which reflects certain anisotropy prop- erties of the involution. It is shown that this quadratic form can be used to classify totally decomposable algebras with orthogonal involution. Also, using this form, a criterion is obtained for an orthogonal involution on a split algebra to be conjugated to the transpose involution.