engleski

(k, r)-admissible configurations and intertwining operators

Certain combinatorial bases of Feigin-Stoyanovsky's type subspaces of level k standard modules for affine Lie algebra sl(r, C)^ are parametrized by (k, r)-admissible configurations. In this note we use Capparelli-Lepowsky-Milas' method to give a new proof of linear independence of these bases, the main ingredient in the proof being the use of Dong-Lepowsky's intertwining operators for fundamental sl(r, C)^-modules.

intertwining operators; combinatorial bases

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