منابع مشابه
Theta Dichotomy for Unitary Groups
Some recent work of Gross and Prasad [14] suggests that the root numbers attached to certain symplectic representations of the Weil-Deligne group of a local field F control certain branching rules for representations of orthogonal groups over F . On a global level, this local phenomenon should have implications for the structure of the value at the center of symmetry for certain L-functions of ...
متن کاملTheta 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...
متن کاملLocal Theta Correspondence for Small Unitary Groups
In this paper we give an explicit parameterization of the local theta correspondence of supercuspidal representations for the reductive dual pairs (U1(F ),U1(F )), (U1(F ),U1,1(F )), (U1(F ),U2(F )), and (U1(F ),U1,2(F )) of unitary groups over a nonarchimedean local field F of odd residue characteristic.
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 1996
ISSN: 0894-0347,1088-6834
DOI: 10.1090/s0894-0347-96-00198-1