The centre of a quantum affine algebra at a root of unity |
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| Authors: | Jens -Ulrik Holger Petersen |
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| Affiliation: | 1. Theory Group, Physics Department, Queen Mary and Westfield College University of London, E1 4NS, London, UK
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| Abstract: | Using a recent extension of the Lusztig braid group automorphisms of a quantum affine algebra, I prove that at an oddl-th root of unity, thel-th power of every real root vector lies in the centre of the quantum affine algebra. The centre of a quantum affine algebra at a root of unity is infinite dimensional: nevertheless it is infinite dimensional over its centre. |
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