On the Plancherel measure for linear Lie groups of rank one

1979 ◽  
Vol 29 (2-4) ◽  
pp. 249-276 ◽  
Author(s):  
Roberto J. Miatello
Keyword(s):  
Lie Groups ◽  
Plancherel Measure ◽  
Rank One

On Limit Multiplicities for Spaces of Automorphic Forms

1999 ◽  
Vol 51 (5) ◽  
pp. 952-976 ◽  
Author(s):  
Anton Deitmar ◽  
Werner Hoffmann
Keyword(s):  
Lie Group ◽  
Automorphic Forms ◽  
Plancherel Measure ◽  
Semisimple Lie Group ◽  
Selberg Trace Formula ◽  
Arithmetic Subgroup ◽  
Trivial Group ◽  
Rank One ◽  
Discrete Part ◽  
Cocompact Lattices

AbstractLet Γ be a rank-one arithmetic subgroup of a semisimple Lie group G. For fixed K-Type, the spectral side of the Selberg trace formula defines a distribution on the space of infinitesimal characters of G, whose discrete part encodes the dimensions of the spaces of square-integrable Γ-automorphic forms. It is shown that this distribution converges to the Plancherel measure of G when Γ shrinks to the trivial group in a certain restricted way. The analogous assertion for cocompact lattices Γ follows from results of DeGeorge-Wallach and Delorme.

Representations of rank one Lie groups. II. 𝑛-cohomology

1988 ◽  
Vol 74 (387) ◽  
pp. 0-0
Author(s):  
David H. Collingwood
Keyword(s):  
Lie Groups ◽  
Rank One

scholarly journals FUNDAMENTAL DOMAINS FOR LATTICES IN RANK ONE SEMISIMPLE LIE GROUPS

1969 ◽  
Vol 62 (2) ◽  
pp. 309-313 ◽  
Author(s):  
H. Garland ◽  
M. S. Raghunathan
Keyword(s):  
Lie Groups ◽  
Semisimple Lie Groups ◽  
Fundamental Domains ◽  
Rank One

Lattices in rank one Lie groups over local fields

1991 ◽  
Vol 1 (4) ◽  
pp. 405-431 ◽  
Author(s):  
Alexander Lubotzky
Keyword(s):  
Lie Groups ◽  
Local Fields ◽  
Rank One
Sign in / Sign up

Export Citation Format

Share Document