Combinatorics of the sl2∧ Spaces of Coinvariants
We consider two types of quotients of the integrable modules of sl<sub>2</sub><sup>∧</sup>. These spaces of coinvariants have dimensions described in terms of the Verlinde algebra of level k. We describe monomial bases for the spaces of coinvariants, which leads to a fermionic description of these spaces. For k=1, we give the explicit formulas for the characters. We also present recursion relations satisfied by the characters and the monomial bases.