Theta lifting for tempered representations of real unitary groups

Autor:	Ichino, Atsushi
Rok vydání:	2020
Předmět:	Mathematics - Representation Theory Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We study the theta lifting for real unitary groups and completely determine the theta lifts of tempered representations. In particular, we show that the theta lifts of (limits of) discrete series representations can be expressed as cohomologically induced representations in the weakly fair range. This extends a result of J.-S. Li in the case of discrete series representations with sufficiently regular infinitesimal character, whose theta lifts can be expressed as cohomologically induced representations in the good range. Comment: merged with arXiv:2002.09148
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2008.06174 Zobrazit plný text záznamu View this record from Arxiv