Lagrangian formulations for Bose and Fermi higher-spin fields of mixed symmetry

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We review the structure of local Lagrangians and field equations for free bosonic and fermionic gauge fields of mixed symmetry in flat space. These are first presented in a constrained setting and then the ($\g$-)trace constraints on fields and gauge parameters are eliminated via the introduction of a number of auxiliary fields.
13 pages, LaTeX. References added. To appear in the proceedings of the XVIII SIGRAV Conference on General Relativity and Gravitational Physics (Cosenza, 22-25 September 2008)

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