
TL;DR
This paper introduces quaternionic Speh representations for $ ext{GL}_{k,D}$, analyzing their models locally and their Fourier coefficients globally, advancing understanding of their structure and automorphic properties.
Contribution
It defines and studies quaternionic Speh representations, providing new insights into their models and Fourier coefficients compared to classical Speh representations.
Findings
Unique models for local representations established
Non-vanishing Fourier coefficients demonstrated globally
Analogues of Speh representations in quaternionic setting
Abstract
For a central division algebra , we study a family of representations of (both locally and globally), which can be viewed as analogues of the Speh representations. Locally, we study unique models for these representations. Globally, we show that these representations support certain non-vanishing Fourier coefficients.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
