论文标题
$ \ mathrm {gl} _n $ of $ p $ - adic字段的内部形式的共轭自偶像表示的均等
Parity of conjugate self-dual representations of inner forms of $\mathrm{GL}_n$ over $p$-adic fields
论文作者
论文摘要
我们证明了一个通用公式，该公式将$ \ mathrm {gl} _n $的共轭自二离散级数表示的兰德兰参数的奇偶校验与其jacquet-langlands Image的奇偶校验。它通过MIEDA对不变$ 1/n $和超舒张表示的情况进行了部分结果的概括。它还给出了Prasad和Ramakrishnan对自以为是的案例结果的变化。
We prove a general formula that relates the parity of the Langlands parameter of a conjugate self-dual discrete series representation of $\mathrm{GL}_n$ to the parity of its Jacquet-Langlands image. It gives a generalization of a partial result by Mieda concerning the case of invariant $1/n$ and supercuspidal representations. It also gives a variation of the result on the self-dual case by Prasad and Ramakrishnan.
