On interacting non-Abelian antisymmetric tensor field models

We study the gauge structure of interacting antisymmetric tensor field models obtained by the dimensional reduction on a group manifold. In such models a dimensionful parameter related to the size of the compact manifold plays the role of a coupling constant. We focus on open issues of reducibility of the gauge transformations in these theories and show that stages of reducibility of the interacting models coincide with ones of corresponding free counterparts.