Any Unitary Principal Series Representation of GL n over a p-Adic Field is Irreducible

DOI10.2307/2040821zbMath0317.22011OpenAlexW4253021123MaRDI QIDQ4078258

Allan J. Silberger, Roger E. Howe

Publication date: 1976

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2040821

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

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Why any unitary principal series representation of 𝑆𝐿_{𝑛} over a 𝑝-adic field decomposes simply

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