Tensor gauge fields in arbitrary representations of GL(D,R) : duality &   Poincare lemma
  Using a mathematical framework which provides a generalization of the de Rham complex (well-designed for p-form gauge fields), we study the gauge structure and duality properties of theories for free gauge fields transforming in arbitrary irreducible representations of GL(D,R). We prove a generalization of the Poincare lemma which enables us to solve the above-mentioned problems in a systematic and unified way. 
Xavier Bekaert and Nicolas Boulanger