2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56862The triality properties of Dirac spinors are studied, including a construction of the algebra of (complexified) biquaternion. It is proved that there exists a vector-representation of Dirac spinors. The massive Dirac equation in the vector-representation is actually self-dual. The Dirac's idea of non-integrable phases is used to study the behavior of massive term.18 pagesMathematical PhysicsHigh Energy Physics - TheoryTriality, Biquaternion and Vector Representation of the Dirac Equationtext