局部酉周期与相对离散序列
表示论
2018-10-17 v2
摘要
设 为 -进域(),设 为 的二次 Galois 扩张,且设 。我们构造了 -进对称空间 的离散谱中的表示,其中 , 是 上的拟分裂酉群。
引用
@article{arxiv.1711.09170,
title = {Local unitary periods and relative discrete series},
author = {Jerrod Manford Smith},
journal= {arXiv preprint arXiv:1711.09170},
year = {2018}
}
备注
30 pages, to appear in the Pacific Journal of Mathematics. In version 2: Section 5.4 added; Proposition 5.12 improved; some results in Section 5.3 renumbered; bibliography updated; several typos corrected. This work extends the results of arXiv:1703.03450 via similar methods