naa a22 4500 510782698 CHVBK 20180411083252.0 cr unu---uuuuu 180411e20130601xx s 000 0 eng 10.1007/s11856-012-0125-x doi (NATIONALLICENCE)springer-10.1007/s11856-012-0125-x Generalized Shalika models of p -adic SO4 n and functoriality [Elektronische Daten] [Dihua Jiang, Chufeng Nien, Yujun Qin] Let F denote a p-adic local field of characteristic zero. In this paper, we investigate the structures of irreducible admissible representations of SO4n (F) having nonzero generalized Shalika models and find relations between the generalized Shalika models and the local Arthur parameters, which support our conjectures on the local Arthur parametrization and the local Langlands functoriality in terms of the dual group associated to the spherical variety, which is attached to the generalized Shalika models. Hebrew University Magnes Press, 2013 Jiang Dihua School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA aut Nien Chufeng Department of Mathematics, National Cheng Kung University and National Center for Theoretical Sciences(South), 701, Tainan, Taiwan aut Qin Yujun Department of Mathematics, East China Normal University, 200241, Shanghai, P.R. China aut Israel Journal of Mathematics Springer US; http://www.springer-ny.com 195/1(2013-06-01), 135-169 0021-2172 195:1<135 2013 195 11856 https://doi.org/10.1007/s11856-012-0125-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0125-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jiang Dihua School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA aut NATIONALLICENCE 700 1- Nien Chufeng Department of Mathematics, National Cheng Kung University and National Center for Theoretical Sciences(South), 701, Tainan, Taiwan aut NATIONALLICENCE 700 1- Qin Yujun Department of Mathematics, East China Normal University, 200241, Shanghai, P.R. China aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 195/1(2013-06-01), 135-169 0021-2172 195:1<135 2013 195 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer