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

DOI10.1016/J.JPAA.2016.07.005zbMATH Open1406.17025arXiv1602.08584OpenAlexW2964230717MaRDI QIDQ326589

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Publication date: 12 October 2016

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1602.08584

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