On the automorphic theta representation for simply laced groups |
| |
| Authors: | David Ginzburg Stephen Rallis David Soudry |
| |
| Institution: | (1) School of Mathematical Sciences The Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978 Tel Aviv, Israel;(2) Department of Mathematics, The Ohio State University, 43210 Columbus, OH, USA;(3) School of Mathematical Sciences The Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978 Tel Aviv, Israel |
| |
| Abstract: | We construct an automorphic realization of the minimal representation of a split, simply laced groupG, over a number field. The realization is by a residue, at a certain point, of an Eisenstein series, induced from the Borel
subgroup. This residue representation is square integrable and defines the automorphic theta representation. It has “very
few” Fourier coefficients, which turn out to have some extra invariance properties.
This research was supported by the Basic Research Foundation administered by the Israel Academy of Sciences and Humanities. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
