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arXiv · 1602.08584

Harish-Chandra invariants and the centre of the reduced enveloping algebra

Lewis W. Topley
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Abstract

In this article we consider the centre of the reduced enveloping algebra of the Lie algebra of a reductive algebraic group in very good characteristic p > 2. The Harish-Chandra centre maps to the centre of each reduced enveloping algebra and, using a combination of induction and deformation arguments, we describe precisely for which p-characters this map is surjective: it is if and only if the chosen character is regular. This provides the converse to a theorem of Mirkovi\'{c} and Rumynin.

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BibTeXRIS

Lewis W. Topley. 2016-02-27. Harish-Chandra invariants and the centre of the reduced enveloping algebra. https://arxiv.org/abs/1602.08584

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