Unitary representations of p-adic U(5)

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  • Claudia Schoemann

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Original languageEnglish
Pages (from-to)93-146
Number of pages54
JournalConfluentes Mathematici
Volume12
Issue number1
Publication statusPublished - 25 Sept 2020

Abstract

We study the parabolically induced complex representations of the unitary group in 5 variables, U(5), defined over a p-adic field. Let F be a p-adic field. Let E: F be a field extension of degree two. U(5) has three proper standard Levi subgroups, the minimal Levi subgroup M0=E* x E* x E1 and the two maximal Levi subgroups M1=GL(2,E) x E1 and M2=E* x U(3). We consider representations induced from M0, representations induced from non-cuspidal, not fully-induced representations of M1 and M2 and representations induced from cuspidal representations of Mi. We determine the points and lines of reducibility and the irreducible subquotients of these representations. Further we describe -except several particular cases -the unitary dual in terms of Langlands quotients.

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Unitary representations of p-adic U(5). / Schoemann, Claudia.
In: Confluentes Mathematici, Vol. 12, No. 1, 25.09.2020, p. 93-146.

Research output: Contribution to journal › Article › Research › peer review

Schoemann, C 2020, 'Unitary representations of p-adic U(5)', Confluentes Mathematici, vol. 12, no. 1, pp. 93-146. https://doi.org/10.5802/cml.63
Schoemann, C. (2020). Unitary representations of p-adic U(5). Confluentes Mathematici, 12(1), 93-146. https://doi.org/10.5802/cml.63
Schoemann C. Unitary representations of p-adic U(5). Confluentes Mathematici. 2020 Sept 25;12(1):93-146. doi: 10.5802/cml.63
Schoemann, Claudia. / Unitary representations of p-adic U(5). In: Confluentes Mathematici. 2020 ; Vol. 12, No. 1. pp. 93-146.
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