中文

局部酉周期与相对离散序列

表示论 2018-10-17 v2

摘要

FFpp-进域(p2p\neq 2),设 EEFF 的二次 Galois 扩张,且设 n2n \geq 2。我们构造了 pp-进对称空间 H\GH \backslash G 的离散谱中的表示,其中 G=GL2n(E)G = \mathbf{GL}_{2n}(E)H=UE/F(F)H = \mathbf{U}_{E/F}(F)FF 上的拟分裂酉群。

关键词

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