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math.RT2002
Poisson orders, symplectic reflection algebras and representation theory
Kenneth A. Brown, Iain Gordon
We introduce a new class of algebras called Poisson orders. This class includes the symplectic reflection algebras of Etingof and Ginzburg, many quantum groups at roots of unity, a…
math.RT1999
The ramifications of the centres: quantised function algebras at roots of unity
K. A. Brown, I. Gordon
Let H be a Hopf algebra which is a finite module over a central sub-Hopf algebra R. We continue the study of such algebras begun in RT/9911234, concentrating in this case on the ex…
math.RT1999
The ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebras
K. A. Brown, I. Gordon
Let H be a Hopf algebra which is a finite module over a central sub-Hopf algebra R. The ramification behaviour of the maximal ideals of Z(H) with respect to the subalgebra R is stu…