Theta lifting for loop groups

Arithmetic theta lifting and L-derivatives for unitary groups, I

Arithmetic theta lifting and L-derivatives for unitary groups, II

Theta Lifting for Some Cohomologicaly Induced Representations

— In his paper [14], Jian-Shu Li proved that a certain kind of cohomological representations of U(a, b) is automorphic. In this paper, this result is generalized to a more general class of cohomological representations of this group. It comes from the fact that these cohomological representations are the image by the theta correspondance of some representations obtained by cohomological inducti...

Theta functions on covers of symplectic groups

We study the automorphic theta representation $Theta_{2n}^{(r)}$ on the $r$-fold cover of the symplectic group $Sp_{2n}$‎. ‎This representation is obtained from the residues of Eisenstein series on this group‎. ‎If $r$ is odd‎, ‎$nle r

Theta Correspondence for Unitary Groups

In this paper we study the theta correspondence for Unitary groups of the same size over local and global fields. This correspondence has been studied in many cases by several authors. We are able to unify and generalise all these known results in terms of two conjectures, one local and the other global. These conjectures are in terms of the parametrisation of irreducible admissible representat...