engleski

Character formulas for Feigin-Stoyanovsky’s type subspaces of standard A_2^(1)-modules

Exact sequences of Feigin-Stoyanovsky’s type subspaces for affine Lie algebra sl(l + 1, C)~ lead to systems of recurrence relations for formal characters of those subspaces. By solving the corresponding system for sl(3, C)~, we obtain a new family of character formulas for all Feigin-Stoyanovsky’s type subspaces at general level.

Affine Lie algebras ; Combinatorial bases ; Recurrence relations ; Character formulas

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