The Smooth Representations of GL2(𝔒)

DOI10.1080/00927870902829049zbMath1182.22008arXiv0807.4684OpenAlexW1580161966MaRDI QIDQ3656751

Alexander Stasinski

Publication date: 14 January 2010

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

Full work available at URL: https://arxiv.org/abs/0807.4684

zbMATH Keywords

orbitsmooth representationsrepresentation theorystabilizerClifford theory of finite groupsgeometric inductionGL\(_2\)infinitesimal induction

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25)

Related Items (9)

Cuspidal representations in the cohomology of Deligne-Lusztig varieties for \(\mathrm{GL}(2)\) over finite rings ⋮ Regular characters of groups of type \(\mathsf{A}_n\) over discrete valuation rings ⋮ On representations of general linear groups over principal ideal local rings of length two. ⋮ Extended Deligne-Lusztig varieties for general and special linear groups. ⋮ Spectral equivalence of smooth group schemes over principal ideal local rings ⋮ Regular characters of \(GL_{n}(O)\) and Weil representations over finite fields ⋮ Representations of 𝐺𝐿_{𝑁} over finite local principal ideal rings: An overview ⋮ Representation growth of compact linear groups ⋮ A VARIANT OF HARISH-CHANDRA FUNCTORS

Cites Work

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• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• A jordan decomposition of representations forGL_n(O)
• Semisimple and cuspidal characters of gl_n(0)

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