Cycles in the chamber homology of GL(3)

Anne Marie Aubert; Samir Hasan; Roger Plymen

doi:10.1007/s10977-006-9001-y

Cycles in the chamber homology of GL(3)

Anne Marie Aubert, Samir Hasan, Roger Plymen

Research output: Contribution to journal › Article › peer-review

Abstract

Let F be a nonarchimedean local field and let GL(N) = GL(N,F). We prove the existence of parahoric types for GL(N). We construct representative cycles in all the homology classes of the chamber homology of GL(3). © Springer Science + Business Media B.V. 2006.

Original language	English
Pages (from-to)	341-377
Number of pages	36
Journal	K-Theory
Volume	37
Issue number	4
DOIs	https://doi.org/10.1007/s10977-006-9001-y
Publication status	Published - Apr 2006

Keywords

Bernstein decomposition
Chamber homology
Cycles
General linear group GL(3)
K-theory
Parahoric types

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10.1007/s10977-006-9001-y

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title = "Cycles in the chamber homology of GL(3)",

abstract = "Let F be a nonarchimedean local field and let GL(N) = GL(N,F). We prove the existence of parahoric types for GL(N). We construct representative cycles in all the homology classes of the chamber homology of GL(3). {\textcopyright} Springer Science + Business Media B.V. 2006.",

keywords = "Bernstein decomposition, Chamber homology, Cycles, General linear group GL(3), K-theory, Parahoric types",

author = "Aubert, {Anne Marie} and Samir Hasan and Roger Plymen",

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doi = "10.1007/s10977-006-9001-y",

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T1 - Cycles in the chamber homology of GL(3)

AU - Aubert, Anne Marie

AU - Hasan, Samir

AU - Plymen, Roger

PY - 2006/4

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N2 - Let F be a nonarchimedean local field and let GL(N) = GL(N,F). We prove the existence of parahoric types for GL(N). We construct representative cycles in all the homology classes of the chamber homology of GL(3). © Springer Science + Business Media B.V. 2006.

AB - Let F be a nonarchimedean local field and let GL(N) = GL(N,F). We prove the existence of parahoric types for GL(N). We construct representative cycles in all the homology classes of the chamber homology of GL(3). © Springer Science + Business Media B.V. 2006.

KW - Bernstein decomposition

KW - Chamber homology

KW - Cycles

KW - General linear group GL(3)

KW - K-theory

KW - Parahoric types

U2 - 10.1007/s10977-006-9001-y

DO - 10.1007/s10977-006-9001-y

M3 - Article

SN - 1573-0514

VL - 37

SP - 341

EP - 377

JO - K-Theory

JF - K-Theory

IS - 4

ER -

Cycles in the chamber homology of GL(3)

Abstract

Keywords

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