正则代数可极化自守表示的符号
On the sign of regular algebraic polarizable automorphic representations
摘要：
我们删除了奇偶校验条件的建设自守伽罗瓦表示在巴黎图书项目进行。随后，我们推广这种建设的情况下，“混合宇称”（但仍然经常本质上自对偶）自守表示在全实数域，找到相关的几何射影表示。最后，我们优化了arxiv：1207.6724的一些Galois提升结果，并将其应用于之前的混合奇偶设置。
英文摘要：
We remove a parity condition from the construction of automorphic Galois representations carried out in the Paris Book Project. We subsequently generalize this construction to the case of `mixed-parity' (but still regular essentially self-dual) automorphic representations over totally real fields, finding associated geometric projective representations. Finally, we optimize some of the Galois lifting results of arxiv:1207.6724 and apply them to the previous mixed-parity setting.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
