Slow exponential growth representations of Sp(n, 1) at the edge of Cowling's strip

Autor:	Julg, Pierre, Nishikawa, Shintaro
Rok vydání:	2021
Předmět:	Mathematics - Representation Theory Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	We obtain a slow exponential growth estimate for the spherical principal series representation rho_s of Lie group Sp(n, 1) at the edge (Re(s)=1) of Cowling's strip (|Re(s)|<1) on the Sobolev space H^alpha(G/P) when alpha is the critical value Q/2=2n+1. As a corollary, we obtain a slow exponential growth estimate for the homotopy rho_s (s in [0, 1]) of the spherical principal series which is required for the first author's program for proving the Baum--Connes conjecture with coefficients for Sp(n,1). Comment: minor changes
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.10536 Zobrazit plný text záznamu View this record from Arxiv