On Cuspidal Cohomology of Arithmetic Groups and Cyclic Base Change

2006 ◽  
Vol 158 (1) ◽  
pp. 99-108 ◽  
Author(s):  
Jürgen Rohlfs ◽  
Birgit Speh
Keyword(s):  
Base Change ◽  
Arithmetic Groups ◽  
Cohomology Of Arithmetic Groups ◽  
Cuspidal Cohomology

On the cuspidal cohomology of arithmetic groups

2009 ◽  
Vol 131 (5) ◽  
pp. 1431-1464 ◽  
Author(s):  
Jian-Shu Li ◽  
Joachim Schwermer
Keyword(s):  
Arithmetic Groups ◽  
Cohomology Of Arithmetic Groups ◽  
Cuspidal Cohomology

Introduction to the Schwartz Space of T\G

1989 ◽  
Vol 41 (2) ◽  
pp. 285-320 ◽  
Author(s):  
W. Casselman
Keyword(s):  
Reductive Group ◽  
Rational Points ◽  
Schwartz Space ◽  
Parabolic Subgroups ◽  
Arithmetic Groups ◽  
Similar Question ◽  
Arithmetic Subgroup ◽  
Cohomology Of Arithmetic Groups ◽  
Image Position

Let G be the group of R-rational points on a reductive group defined over Q and T an arithmetic subgroup. The aim of this paper is to describe in some detail the Schwartz space (whose definition I recall in Section 1) and in particular to explain a decomposition of this space into constituents parametrized by the T-associate classes of rational parabolic subgroups of G. This is analogous to the more elementary of the two well known decompositions of L2 (T\G) in [20](or [17]), and a proof of something equivalent was first sketched by Langlands himself in correspondence with A. Borel in 1972. (Borel has given an account of this in [8].)Langlands’ letter was in response to a question posed by Borel concerning a decomposition of the cohomology of arithmetic groups, and the decomposition I obtain here was motivated by a similar question, which is dealt with at the end of the paper.

Mini-Workshop: Computations in the Cohomology of Arithmetic Groups

2017 ◽  
Vol 13 (4) ◽  
pp. 2941-2973
Author(s):  
Eva Bayer-Fluckiger ◽  
Philippe Elbaz-Vincent ◽  
Graham Ellis
Keyword(s):  
Arithmetic Groups ◽  
Cohomology Of Arithmetic Groups

scholarly journals Arithmetic Groups, Base Change, and Representation Growth

2016 ◽  
Vol 26 (1) ◽  
pp. 67-135 ◽  
Author(s):  
Nir Avni ◽  
Benjamin Klopsch ◽  
Uri Onn ◽  
Christopher Voll
Keyword(s):  
Base Change ◽  
Arithmetic Groups
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