  By combining the electronic structures obtained from first principles
calculations with Boltzmann transport theory we have investigated the
electronic, magnetic and transport properties of Co$_{2}$MnGe Heusler compound.
The density of states plots, dispersion curves and total energy of paramagnetic
and ferromagnetic (FM) phases clearly show the half-metallic FM ground state
for the compound with an indirect band gap of about 400 meV in the minority
spin channel. It has integer value of the magnetic moment equal to 5 $\mu_{B}$.
In the FM phase a very large value ($\sim$550 $\mu$V/K) of Seebeck coefficient
(S) is obtained for down-spin electrons due to the existence of almost flat
conduction band along X to $\Gamma$ direction. The two current model has been
used to find the total S and the obtained value is about 10 $\mu$V/K. The
calculated values of Seebeck coefficient, resistivity and electronic thermal
conductivity show nice agreement with the experimental results.
