The SL(1,D)-distinction problem
Representation Theory
2018-06-14 v1
Abstract
We use the local theta correspondences between the quaternionic Hermitian groups and the quaternionic skew-Hermitian groups to understand the distinction problem for the symmetric pair SL(2,E)/SL(1,D), where E is a quadratic field extension of a nonarchimedean local field extension F and D is a 4-dimensional division quaternion algebra over F
Keywords
Cite
@article{arxiv.1805.04846,
title = {The SL(1,D)-distinction problem},
author = {Hengfei Lu},
journal= {arXiv preprint arXiv:1805.04846},
year = {2018}
}
Comments
11 pages. arXiv admin note: text overlap with arXiv:1802.01941