0
votes
0answers
80 views

Global theta liftings with seesaw reductive dual pairs

Hello, I have the following problem : Let $(G,G')$ and $(H,H')$ be a pair of dual reductive pairs in a symplectic space $Sp(W)$ (in a global setting) forming a seesaw pair (with $H \subset G$ and $G' ...
1
vote
0answers
70 views

Non vanishing and cuspidality of the theta lift of trivial representation.

Hi! Let E/F be a quadratic number field extension. Then we make some hermitian and skew hermition vector spaces and define unitary group on it.(namely U(1) and U(3)) Then, I am wondering whether the ...
7
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2answers
957 views

Relation between Theta series and Eisensteinseries

In "Mackey - Unitary Group Representation in Physics, Probability and Number Theory" on page 326, George Mackey mentions a result of Ludwig Siegel, which was later generalized to semi-simple Lie ...