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Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard sl^~(l+1, C)-modules (CROSBI ID 159830)
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Trupčević, Goran
Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard sl^~(l+1, C)-modules // Journal of algebra, 322 (2009), 10; 3744-3774. doi: 10.1016/j.jalgebra.2009.07.024
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Trupčević, Goran
engleski
Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard sl^~(l+1, C)-modules
Let g^~ be an affine Lie algebra of the type A_l^(1). We find a combinatorial basis of Feigin–Stoyanovsky's type subspace W(Λ) given in terms of difference and initial conditions. Linear independence of the generating set is proved inductively by using coefficients of intertwining operators. A basis of the standard g^~-module L(Λ) is obtained as an “inductive limit” of the basis of W(Λ).
Affine Lie algebras; Combinatorial bases
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