The centre of quantum sl_n at a root of unity

Details The centre of quantum sl_n at a root of unity The centre of quantum sl_n at a root of unity

2005-11-25

arxiv.org/abs/math/0511628v1

Mathematics

Quantum Algebra

Scientific paper

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.

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