engleski

Recurrence relations for characters of affine Lie algebra A_l^(1)

By using the known description of combinatorial bases for Feigin-Stoyanovsky's type subspaces of standard modules for affine Lie algebra sl(l + 1, C)~, as well as certain intertwining operators between standard modules, we obtain exact sequences of Feigin-Stoyanovsky's type subspaces at fixed level k. This directly leads to systems of recurrence relations for formal characters of those subspaces.

affine Lie algebras ; standard modules ; combinatorial bases ; exact sequences ; recurrence relations ; formal characters

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