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An Extension of the Character Ring of sl(3) and Its Quantisation |
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| Authors: | P Furlan A C Ganchev V B Petkova |
| Institution: | Dipartimento di Fisica Teorica dell'Universitè di Trieste, Strada Costiera 11, 34100 Trieste, Italy.?E-mail: furlan@ts.infn.it, IT Institute for Nuclear Research and Nuclear Energy, Tzarigradsko Chaussee 72, 1784 Sofia, Bulgaria.?E-mail: ganchev@inrne.bas.bg, BG Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Trieste, Italy.?E-mail: petkova@ts.infn.it, IT |
| Abstract: | 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 of the extended affine Weyl group of at . 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 . Received: 22 September 1998 / Accepted: 24 November 1998 |
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