Abstract
Let be an affine Lie algebra of type and L(Λ) its standard module with a highest weight vector v Λ. For a given ℤ-gradation , we define Feigin–Stoyanovsky's type subspace as
By using vertex operator relations for standard modules we reduce the Ponicaré–Brikhoff–Witt spanning set of W(Λ) to a basis and prove its linear independence by using Dong–Lepowsky intertwining operators.
2000 Mathematics Subject Classification:
ACKNOWLEDGMENT
Partially supported by the Ministry of Science and Technology of the Republic of Croatia, Project ID 037-0372794-2806. I thank Mirko Primc for his help on the topic and valuable suggestions.
I thank Mirko Primc for his help on the topic and valuable suggestions.
Notes
Communicated by K. Misra.