Article ID Journal Published Year Pages File Type
4589150 Journal of Algebra 2006 21 Pages PDF
Abstract

It is proved that the centre Z of the simply connected quantised universal enveloping algebra over C, Uε,P(sln), ε a primitive lth 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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory