Mixed symmetry gauge fields in a flat background

We present a list of all inequivalent bosonic covariant free particle wave equations in a flat spacetime of arbitrary dimension. The wave functions are assumed to have a finite number of components. We relate these wave equations to equivalent versions obtained following other approaches. Talk given by X.B. at the International Workshop on “Supersymmetries and Quantum Symmetries” (SQS 03), Dubna, Russia, 24-29 July 2003.