Tange, R.H. (2006) The centre of quantum sl_n at a root of unity. Journal of Algebra, 301 (1), 425-445. (doi:10.1016/j.jalgebra.2005.11.036).
Abstract
It is proved that the centre Z of the simply connected quantised universal enveloping algebra over C, U_{?,P}(sl_n), ? a primitive l-th root of unity, l an odd integer >1, has a rational field of fractions. Furthermore it is proved that if l is a power of an odd prime, Z is a unique factorisation domain.
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