Quantum simulation experiments implement effective Hamiltonians using control over both the internal and the external degrees of the particles, traditionally alkali atoms. Ensembles of atoms with the more complex Alkaline-earth-like electronic structure allow for novel many-body systems to be modeled and probed, due to their additional internal structure. We use the fermionic ytterbium-173 isotope’s specific properties in two ways: To implement quantum gases with extended SU(N)-symmetry as well as to couple internal degrees of freedom of the atoms to external degrees with state-dependent potentials and interactions. As a consequence of the SU(N)-symmetry of the interactions in the fermionic gas, we can realize a generalized Fermi-Hubbard model with up to SU(6)-symmetry. Combining the nuclear degree of freedom with the electronic one, we can also implement a Kondo-like lattice structure with two effective orbitals represented by the internal states. For this, we implement a state-dependent lattice setup and characterize the unusual inter-orbital interactions in such a system.