%0 Journal Article
%T The centre of quantum sl_n at a root of unity
%A Rudolf Tange
%J Mathematics
%D 2005
%I arXiv
%X It is proved that the centre Z of the simply connected quantised universal enveloping algebra over C, U_{\e,P}(sl_n), \e 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.
%U http://arxiv.org/abs/math/0511628v1