The ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebras
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Publication:5956855
DOI10.1007/S002090100274zbMATH Open1037.17011arXivmath/9911234OpenAlexW1996810496MaRDI QIDQ5956855
Author name not available (Why is that?)
Publication date: 2001
Published in: (Search for Journal in Brave)
Abstract: 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 studied. In the case when H is U(g), the enveloping algebra of a semisimple Lie algebra g, a conjecture of Humphreys is confirmed. In the case when H is the quantised enveloping algebra of g at a root of unity we obtain quantum analogues of result of a Mirkovic and Rumynin, we fully describe the reduced factor algebras over the regular sheet and the blocks of H are determined.
Full work available at URL: https://arxiv.org/abs/math/9911234
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