上同调诱导的例外表示与上同调测试向量
表示论
2019-09-10 v3 数论
摘要
设 为实约化群， 为 的约化子群 的特征。我们在 的某些上同调诱导表示上构造了 不变线性泛函，并证明这些线性泛函在底层上非零。应用此构造，我们证明了两个阿基米德非零假设，这些假设在通过模符号研究 L-函数特殊值的过程中至关重要。
引用
@article{arxiv.1111.2636,
title = {Cohomologically induced distinguished representations and cohomological test vectors},
author = {Binyong Sun},
journal= {arXiv preprint arXiv:1111.2636},
year = {2019}
}
备注
We still do not have a proof of "Theorem 4.3" of Version 1. The following correction is made in this version: the invariant bilinear form in the proof of Lemma A.4, which is incorrectly used in the last version, is now changed to an invariant inner product