The centre of quantum sl_n at a root of unity

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...

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Bibliographic Details
Main Author: Tange, R.H (Author)
Format: Article
Language:English
Published: 2006.
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Summary: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.