The CAP representations indexed by Hilbert cusp forms Shunsuke Yamana Abstract We combine the Duke-Imamoglu-Ikeda lifting with the theta lifting to produce new CAP(cuspidal associated to parabolics)representations of ...The CAP representations indexed by Hilbert cusp forms Shunsuke Yamana Abstract We combine the Duke-Imamoglu-Ikeda lifting with the theta lifting to produce new CAP(cuspidal associated to parabolics)representations of metaplectic,symplectic and orthogonal groups.These constructions partially generalize the theories of Waldspurger on the Shimura correspondence and of Piatetski-Shapiro on the Saito-Kurokawa lifting to higher dimensions.展开更多
文摘The CAP representations indexed by Hilbert cusp forms Shunsuke Yamana Abstract We combine the Duke-Imamoglu-Ikeda lifting with the theta lifting to produce new CAP(cuspidal associated to parabolics)representations of metaplectic,symplectic and orthogonal groups.These constructions partially generalize the theories of Waldspurger on the Shimura correspondence and of Piatetski-Shapiro on the Saito-Kurokawa lifting to higher dimensions.
