The ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebras

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dc.creatorBrown, K. A.
dc.creatorGordon, I.
dc.date1999-11-29
dc.date.accessioned2026-07-07T05:32:00Z
dc.date.available2026-07-07T05:32:00Z
dc.descriptionLet 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.
dc.description42 pages, 1 table
dc.identifierhttps://arxiv.org/abs/math/9911234
dc.identifierhttp://arxiv.org/abs/math/9911234
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79506
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.titleThe ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebras
dc.typetext

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