Abstract
We show that the fusion rule for the E 6 model, which is constructed from the one for the A (1) 1 Kač-Moody algebra by naive extension, is not associative. Then by using the associativity as a guiding principle, we obtain two types of fusion rules: one is left-right symmetric and the other asymmetric. The latter contains parameters and can not be factorized into left and right sectors except one special case. A l and D l models are briefly discussed.
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