1 7 N ov 2 00 6 Principal subspaces of higher - level standard ̂ sl ( 3 ) - modules
نویسنده
چکیده
We use the theory of vertex operator algebras and intertwining operators to obtain systems of q-difference equations satisfied by the graded dimensions of the principal subspaces of certain level k standard modules for ŝl(3). As a consequence we establish new formulas for the graded dimensions of the principal subspaces corresponding to the highest weights iΛ1 + (k − i)Λ2, where 1 ≤ i ≤ k and Λ1 and Λ2 are fundamental weights of ŝl(3).
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