  We investigate the thermoelectric properties of a T-shaped double quantum dot
system described by a generalized Anderson Hamiltonian. The system's electrical
conduction (G) and the fundamental thermoelectric parameters such as the
Seebeck coefficient ($S$) and the thermal conductivity ($\kappa$), along with
the system's thermoelectric figure of merit (ZT) are numerically estimated
based on a Green's function formalism that includes contributions up to the
Hartree-Fock level. Our results account for finite onsite Coulomb interaction
terms in both component quantum dots and discuss various ways leading to an
enhanced thermoelectric figure of merit for the system. We demonstrate that the
presence of Fano resonances in the Coulomb blockade regime is responsible for a
strong violation of the Wiedemann-Franz law and a considerable enhancement of
the system's figure of merit ($ZT$).
