  We propose a symmetry law for a doublet of different form fields, which
resembles gauge transformations for matter fields. This may be done for general
Lie groups, resulting in an extension of Lie algebras and group manifolds. It
is also shown that non-associative algebras naturally appear in this formalism,
which are briefly discussed.
  Afterwards, a general connection which includes a two-form field is
settled-down, solving the problem of setting a gauge theory for the Kalb-Ramond
field for generical groups.
  Topological Chern-Simons theories can also be defined in four dimensions, and
this approach clarifies their relation to the so-called $B \wedge F$-theories.
We also revise some standard aspects of Kalb-Ramond theories in view of these
new perspectives.
  Since this gauge connection is built upon a pair of fields consisting of a
one-form and a two-form, one may define Yang-Mills theories as usually and,
remarkably, also {\it minimal coupling} with bosonic matter, where the
Kalb-Ramond field appears naturally as mediator; so, a new associated conserved
charge can be defined. For the Abelian case, we explicitly construct the
minimal interaction between $B$-field and matter following a "gauge principle"
and find a novel conserved tensor current. This is our most significative
result from the physical viewpoint.
  This framework is also generalized in such a way that any $p$-rank tensor may
be formulated as a gauge field.
