Multi-grounded partitions and character formulas

We introduce a new generalisation of partitions, multi-grounded related to ground state paths indexed by dominant weights Lie algebras. use these express characters irreducible highest weight modules Kac–Moody algebras affine type as generating functions for partitions. This generalises the approach our previous paper, where only with constant were considered, all paths. As an application, we compute level 1 A2n(2)(n≥2), Dn+1(2)(n≥2), A2n−1(2)(n≥3), Bn(1)(n≥3), and Dn(1)(n≥4).