scholarly journals On spherical unitary representations of groups of spheromorphisms of Bruhat–Tits trees

2021 ◽  
Author(s):  
Yury Neretin
Keyword(s):  
Unitary Representations ◽  
Representations Of Groups

Unitary representations of groups, continuity and spectrum

2011 ◽  
Vol 97 (2) ◽  
pp. 157-165 ◽  
Author(s):  
Jean-Martin Paoli ◽  
Jean-Christophe Tomasi
Keyword(s):  
Unitary Representations ◽  
Representations Of Groups

scholarly journals Special series of unitary representations of groups acting on homogeneous trees

1986 ◽  
Vol 40 (1) ◽  
pp. 83-88 ◽  
Author(s):  
Anna Maria Mantero ◽  
Anna Zappa
Keyword(s):  
Discrete Subgroup ◽  
Unitary Representations ◽  
Homogeneous Tree ◽  
Special Series ◽  
Representations Of Groups ◽  
Homogeneous Trees

AbstractLet G be a group acting faithfully on a homogeneous tree of order p + 1, p > 1. Let be the space of functions on the Poission boundary ω, of zero mean on ω. When p is a prime. G is a discrete subgroup of PGL2(Qp) of finite covolume. The representations of the special series of PGL2(Qp), Which are irreducible and unitary in an appropriate completion of , are shown to be reducible when restricted to G. It is proved that these representations of G are algebraically reducible on and topologically irreducible on endowed with the week topology.

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