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Simplicial complexes lying equivariantly over the affine building of \(\text{GL}(N)\)

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Publication:1889453
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DOI10.1007/s00208-004-0516-3zbMath1129.22009OpenAlexW1981901648MaRDI QIDQ1889453

Paul Broussous

Publication date: 2 December 2004

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-004-0516-3


zbMATH Keywords

simplicial complexesnon-Archimedean local fieldcohomology spaceprojective towersemisimple affine building


Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Representations of Lie and linear algebraic groups over local fields (22E50) Simplicial sets and complexes in algebraic topology (55U10) Groups with a (BN)-pair; buildings (20E42) Linear algebraic groups over local fields and their integers (20G25)


Related Items (3)

A geometric construction of types for the smooth representations of PGL(2) over a local field ⋮ Compactly supported cohomology of a tower of graphs and generic representations of \(\mathrm{PGL}_n\) over a local field ⋮ Representations of PGL(2) of a local field and harmonic cochains on graphs




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