3 citations · 3 across the 2 of their papers we have counts for
6 papers
Primeness, semiprimeness and localisation in Iwasawa algebras
Konstantin Ardakov, Kenneth A. Brown
Necessary and sufficient conditions are given for the completed group algebras of a compact p-adic analytic group with coefficient ring the p-adic integers or the field of p elemen…
Unruffled extensions and flatness over central subalgebras
Kenneth A. Brown
A condition on an affine central subalgebra of a noetherian algebra of finite Gelfand-Kirillov dimension, which we call here \emph{unruffledness}, is shown to be equivalent…
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…
O_e(G) is a free module over O(G)
K. A. Brown, I. Gordon, J. T. Stafford
We show that the quantised function algebra O_e(G) of a simply-connected semisimple algebraic group G at a root of unity is a free module over the subring isomorphic to O(G).
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…
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…