Quadratic Quaternion Forms, Involutions and Triality

Quadratic quaternion forms, introduced by Seip-Hornix (1965), are special cases of generalized quadratic forms over algebras with involutions. We apply the formalism of these generalized qua- dratic forms to give a characteristic free version of difierent results related to hermitian forms over quaternions: 1) An exact sequence of Lewis 2) Involutions of central simple algebras of exponent 2. 3) Triality for 4-dimensional quadratic quaternion forms. 1991 Mathematics Subject Classiflcation: 11E39, 11E88 Keywords and Phrases: Quadratic quaternion forms, Involutions, Tri- ality