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On an algorithm to compute derivatives

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Title: On an algorithm to compute derivatives
Authors: Atobe, Hiraku Browse this author →KAKEN DB
Keywords: Primary 22E50
Secondary 11S37
Issue Date: 4-Mar-2022
Publisher: Springer
Journal Title: Manuscripta mathematica
Volume: 167
Issue: 3-4
Start Page: 721
End Page: 763
Publisher DOI: 10.1007/s00229-021-01285-8
Abstract: In this paper, we complete Jantzen's algorithm to compute the highest derivatives of irreducible representations of p-adic odd special orthogonal groups or symplectic groups. As an application, we give some examples of the Langlands data of the Aubert duals of irreducible representations, which are in the integral reducibility case.
Rights: This is a post-peer-review, pre-copyedit version of an article published in Manuscripta mathematica. The final authenticated version is available online at: https://doi.org/10.1007/s00229-021-01285-8.
Type: article (author version)
URI: http://hdl.handle.net/2115/84292
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

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