Cohomology of Arithmetic Groups and Automorphic Forms

1990 ◽  
Keyword(s):  
Automorphic Forms ◽  
Arithmetic Groups ◽  
Cohomology Of Arithmetic Groups

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 ◽  
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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

On Eisenstein series and the cohomology of arithmetic groups

2010 ◽  
Vol 348 (11-12) ◽  
pp. 597-600 ◽  
Author(s):  
Neven Grbac ◽  
Joachim Schwermer
Keyword(s):  
Eisenstein Series ◽  
Arithmetic Groups ◽  
Cohomology Of Arithmetic Groups
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