engleski

Rank one reducibility for unitary groups

In the paper is considered dual reductive pair consisting of two unitary groups over a nonarchimedean local field of characteristic zero. The reducibility of the parabolically induced representations of these two groups is related if the inducing data is cuspidal and related to each other by theta correspondence. Theta lifts of the irreducible subquotients of these parabolically induced representations are calculated.

dual pairs ; unitary groups ; theta lifts ; nonarchimedean local field ; parabolic induction ; reducibility

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