We are concerned with the precise modalities by which mathematical
constructions related to energy-tensors can be adapted to a tetrad-affine
setting. We show that, for fairly general gauge field theories formulated in
that setting, two notions of energy tensor--the canonical tensor and the
stress-energy tensor--exactly coincide with no need for tweaking. Moreover we
show how both notions of energy-tensor can be naturally extended to include the
gravitational field itself, represented by a couple constituted by the tetrad
and a spinor connection. Then we examine the on-shell divergences of these
tensors in relation to the issue of local energy-conservation in the presence
of torsion.Comment: 7 pages, accepted version to appear on Gravitation & Cosmolog
