Special series of unitary representations of groups acting on homogeneous trees

Journal of the Australian Mathematical Society

Anna Maria Mantero¹ 

[1] Anna Zappa

关键词: 22 D 10;    20 E 05;    43 D 90;   

DOI  :  10.1017/S1446788700026513

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let G be a group acting faithfully on a homogeneous tree of order p + 1, p > 1. Letbe 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 onand topologically irreducible onendowed with the week topology.

【 授权许可】

Unknown