Aubert, Anne-Marie and Baum, Paul and Plymen, Roger and Solleveld, Maarten (2014) The principal series of p-adic groups with disconnected centre. [MIMS Preprint]

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Let G be a split connected reductive group over a local non-archimedean field. We classify all irreducible complex G-representations in the principal series, irrespective of the (dis)connectedness of the centre of G. This leads to a local Langlands correspondence for principal series representations, which satisfies all expected properties. We also prove that the ABPS conjecture about the geometric structure of Bernstein components is valid throughout the principal series of G.

Item Type: MIMS Preprint
Uncontrolled Keywords: reductive p-adic group, representation theory, geometric structure, local Langlands conjecture
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 11 Number theory
MSC 2010, the AMS's Mathematics Subject Classification > 22 Topological groups, Lie groups
Depositing User: Professor Roger Plymen
Date Deposited: 01 Oct 2014
Last Modified: 08 Nov 2017 18:18

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