Pfister involutions in characteristic two

چکیده مقاله

In characteristic two, it is shown that a central simple algebra of degree equal to a power of two with anisotropic orthogonal involution is totally decomposable if it is adjoint to a bilinear Pfister form over all splitting fields of the algebra. A stronger result is obtained for the case where this algebra with involution is Brauer-equivalent to a quaternion algebra.