Nilpotent orbits: finiteness, separability and Howe's conjecture

This paper is about nilpotent orbits of reductive groups over local non-Archimedean fields. In this paper we will try to identify for which groups there are only finitely many nilpotent orbits, for which groups the nilpotent orbits are separable and for which groups Howe's conjecture holds. For...

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Bibliographic Details
Main Author Witte, Julius
Format Journal Article
LanguageEnglish
Published 10.09.2015
Subjects
Mathematics - Algebraic Geometry
Mathematics - Representation Theory
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Summary:This paper is about nilpotent orbits of reductive groups over local non-Archimedean fields. In this paper we will try to identify for which groups there are only finitely many nilpotent orbits, for which groups the nilpotent orbits are separable and for which groups Howe's conjecture holds. For general reductive groups we get some partial results. For split reductive groups we get a classification in terms of the root data and the characteristic of the underlying local field.
DOI:10.48550/arxiv.1509.03128