Mathematics – Quantum Algebra
Scientific paper
1998-07-20
Commun.Math.Phys. 202 (1999) 701-733
Mathematics
Quantum Algebra
contains two TeX files: main file using harvmac.tex, amssym.def, amssym.tex, 35p.; file with figures using XY-pic package, 4p;
Scientific paper
10.1007/s002200050602
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 $Z[\tilde{W}]$ of the extended affine Weyl group of $\hat{sl}(3)_k$ at $k\not \in Q$. 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 $\hat{sl}(3)_k$.
Furlan Paolo
Ganchev Ch. A.
Petkova Valentina B.
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