For a generic $L$-parameter of $U(n)\times U(n)$, it is conjectured thatthere is a unique representation in their associated relevant Vogan $L$-packetwhich produces the unique Fourier-Jacobi model. We investigated this conjecturefor some non-generic $L$-parameters of $U(3)\times U(3)$ and discovered thatthis conjecture is still true for some non-generic $L$-parameter and false forsome non-generic $L$-parameter. In the case when it holds, we specified suchrepresentation under the local Langlands correspondence for unitary group.
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机译：对于$ U（n）\ U（n）$的通用$ L $参数，可以推测在它们相关的相关Vogan $ L $数据包中存在唯一表示，从而产生了唯一的Fourier-Jacobi模型。我们对某些非泛型$ L $参数的$ U（3）\ times U（3）$进行了调查，发现对于某些非泛型$ L $参数该假设仍然成立，而对于某些非泛型$ L则为假。 L $参数。在它成立的情况下，我们在Lang族的本地Langlands对应关系下指定了这样的表示形式。
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