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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This work was partly supported by an S.E.R.C. Research Studentship. I thank the Physics Department at QMW for financial support which allowed me to attend this meeting. I would also like to express my thanks to Dr. Čestmír Burdík, Dr. Goce Chadzitaskos and all the organisers for a very enjoyable meeting.
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Petersen, J.U.H. The centre of a quantum affine algebra at a root of unity. Czech J Phys 44, 1091–1100 (1994). https://doi.org/10.1007/BF01690461
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DOI: https://doi.org/10.1007/BF01690461