论文标题
与线性周期的标准模块的分类
Classification of standard modules with linear periods
论文作者
论文摘要
假设$ f $是一个非Archimedean本地领域，而$ D $是超过$ f $的中央分区代数。让$ n $成为一个积极的整数。我们显示了一个具有非零线性周期的$ \ mathrm {gl} _n（d）$的标准模块的分类模型。通过这种分类，Prasad和Takloo-Bighash的猜想减少到本质上是正方形的表述的情况下。
Suppose that $F$ is a non-Archimedean local field and $D$ is a central division algebra over $F$. Let $n$ be a positive integer. We show a classification modulo essentially square-integrable representations of standard modules of $\mathrm{GL}_n(D)$ which have non-zero linear periods. By this classification, the conjecture of Prasad and Takloo-Bighash is reduced to the case of essentially square integrable representations.
