A geometric construction of types for the smooth representations of PGL(2) over a local field

DOI10.1090/S1088-4165-2013-00441-7zbMath1302.22010arXiv1203.5661MaRDI QIDQ2937175

Paul Broussous

Publication date: 8 January 2015

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

Full work available at URL: https://arxiv.org/abs/1203.5661

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Representations of Lie and linear algebraic groups over local fields (22E50)

Cites Work

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• Simplicial complexes lying equivariantly over the affine building of \(\text{GL}(N)\)
• Representations of PGL(2) of a local field and harmonic cochains on graphs
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• Représentations cuspidales du groupe linéaire
• On the Supercuspidal Representations of Gl 2 , II
• Smooth representations of reductive p -ADIC groups: structure theory via types
• Minimal strata for GL (m, D)
• Types and Hecke algebras for principal series representations of split reductive p-adic groups

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