The local theta correspondence of irreducible type $2$ dual reductive pairs
The local theta correspondence of irreducible type $2$ dual reductive pairs
The explicit Howe duality correspondence is partially solved in the case of irreducible type 2 dual reductive pairs defined over a non-Archimedean local field.Introduction.Let (GL n , GL m ) be an irreducible type 2 dual reductive pair defined over a non-Archimedean local field F. The Weil representation ω nm …