An Extension of the Character Ring of sl(3) and Its Quantisation

نویسنده

P. Furlan

چکیده

We construct a commutative ring with identity which extends the ring of characters of finite dimensional representations of sl(3). It is generated by characters with values in the group ring Z[W̃ ] of the extended affine Weyl group of ŝl(3)k at k 6∈ Q. The ‘quantised’ version at rational level k + 3 = 3/p realises the fusion rules of a WZW conformal field theory based on admissible representations of ŝl(3)k .

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