Combinatorics of the s-fraktur sign l-fraktur sign₂ Coinvariants: Dual functional realization and recursion

We give the fermionic character formulas for the spaces of coinvariants obtained from level k integrable representations of s-fraktur sign l-fraktur sign₂. We establish the functional realization of the spaces dual to the coinvariant spaces. We parameterize functions in the dual spaces by rigged partitions, and prove the recursion relations for the sets of rigged partitions.