Abstract
Let be an affine Lie algebra of the type
. Suppose we are given a ℤ-gradation of the corresponding simple finite-dimensional Lie algebra 𝔤 = 𝔤−1 ⊕ 𝔤0 ⊕ 𝔤1; then we also have the induced ℤ-gradation of the affine Lie algebra
Let L(Λ) be a standard module of level 1. Feigin–Stoyanovsky's type subspace W(Λ) is the -submodule of L(Λ) generated by the highest-weight vector v
Λ,
We find a combinatorial basis of W(Λ) given in terms of difference and initial conditions.
2000 Mathematics Subject Classification:
ACKNOWLEDGMENTS
Partially supported by the Ministry of Science and Technology of the Republic of Croatia, Project ID 037-0372794-2806.
Notes
Communicated by K. Misra.