The centre of quantum sl_n at a root of unity
Quantum Algebra
2007-05-23 v1 Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.math/0511628,
title = {The centre of quantum sl_n at a root of unity},
author = {Rudolf Tange},
journal= {arXiv preprint arXiv:math/0511628},
year = {2007}
}