caa a22 4500 469069090 CHVBK 20180323132916.0 cr unu---uuuuu 170328e19921001xx s 000 0 eng 10.1007/BF02808058 doi (NATIONALLICENCE)springer-10.1007/BF02808058 Ramified degenerate principal series representations for Sp(n) [Elektronische Daten] [Stephen Kudla, Stephen Rallis] In this paper we give a complete description of the points of reducibility, components and composition series of the degenerate principal series representations of the groupSp(n, F), F a non-archimedean local field, which are induced from a character of a maximal parabolic subgroupP = MN with Levi subgroupM ≊GL(n, F). We show that all of the reducibility is accounted for by submodules coming from the Weil representation associated to quadratic forms overF. The local results of this paper play an essential role in our extension of the Siegel-Weil formula relating theta integrals and special values of Eisenstein series. Hebrew University, 1992 Kudla Stephen University of Maryland, 20742, College Park, MD aut Rallis Stephen Ohio State University, 43210, Columbus, Ohio aut Israel Journal of Mathematics Springer-Verlag 78/2-3(1992-10-01), 209-256 0021-2172 78:2-3<209 1992 78 11856 https://doi.org/10.1007/BF02808058 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02808058 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kudla Stephen University of Maryland, 20742, College Park, MD aut NATIONALLICENCE 700 1- Rallis Stephen Ohio State University, 43210, Columbus, Ohio aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer-Verlag 78/2-3(1992-10-01), 209-256 0021-2172 78:2-3<209 1992 78 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer