Endo-parameters for p-adic Classical Groups

Kurinczuk, Robert, Skodlerack, Daniel and Stevens, Shaun (2021) Endo-parameters for p-adic Classical Groups. Inventiones Mathematicae, 223 (2). 597–723. ISSN 0020-9910

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Abstract

For a classical group over a non-archimedean local field of odd residual characteristic p, we prove that two cuspidal types, defined over an algebraically closed field C of characteristic different from p, intertwine if and only if they are conjugate. This completes work of the first and third authors who showed that every irreducible cuspidal C-representation of a classical group is compactly induced from a cuspidal type. We generalize Bushnell and Henniart’s notion of endo-equivalence to semisimple characters of general linear groups and to self-dual semisimple characters of classical groups, and introduce (self-dual) endo-parameters. We prove that these parametrize intertwining classes of (self-dual) semisimple characters and conjecture that they are in bijection with wild Langlands parameters, compatibly with the local Langlands correspondence.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Related URLs:
Depositing User: LivePure Connector
Date Deposited: 28 Aug 2020 00:04
Last Modified: 22 Sep 2021 00:46
URI: https://ueaeprints.uea.ac.uk/id/eprint/76674
DOI: 10.1007/s00222-020-00997-0

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