On the unramified principal series of \(\mathrm{GL}(3)\) over non-Archimedean local fields

DOI10.1016/J.JALGEBRA.2013.08.022zbMath1298.22020arXiv1210.5640OpenAlexW2963713964MaRDI QIDQ405843

Pooja Singla, Uri Onn

Publication date: 8 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5640

zbMATH Keywords

representations of \(p\)-adic groupsmaximal compact subgroupunramified principal series

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25)

Related Items (5)

On branching rules of depth-zero representations ⋮ An inductive approach to representations of general linear groups over compact discrete valuation rings ⋮ Gelfand criterion and multiplicity one results for \(\mathrm{GL}_n\) over finite chain rings ⋮ A VARIANT OF HARISH-CHANDRA FUNCTORS ⋮ Zeta functions associated to admissible representations of compact 𝑝-adic Lie groups

Cites Work

• Branching rules for unramified principal series representations of GL(3) over a \(p\)-adic field
• The restriction of a representation of GL\(_2(k)\) to GL\(_0(0)\)
• On the Principal Series of Gl n Over p-Adic Fields

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