  In this work we concentrate on the {\it point symmetry} of triangular triple
quantum dot and its interplay with the {\it spin rotation symmetry} in the
context of Kondo tunneling through this kind of artificial molecule.
  A fully symmetric triangular triple quantum dot is considered, consisting of
three identical puddles with the same individual properties (energy levels and
Coulomb blockade parameters) and inter-dot coupling (tunnel amplitudes and
electrostatic interaction). The underlying Kondo physics is determined by the
product of a discrete rotation symmetry group in real space and a continuous
rotation symmetry in spin space. These symmetries are reflected in the
resulting exchange hamiltonian which naturally involves spin and orbital
degrees of freedom. The ensuing poor-man scaling equations are solved and the
Kondo temperature is calculated.
