On the trilinear and Ginzburg-Rallis models

Xinrui Wang

On the trilinear and Ginzburg-Rallis models

Representation Theory 2026-06-30 v1

Authors: Xinrui Wang

Abstract

Let $k$ be a non-archimedean local field of characteristic zero. We give sufficient conditions under which the Ginzburg-Rallis models of the induced representations of $\mathrm{GL}_6(k)$ from a parabolic subgroup of type $[2^3]$ are isomorphic to the trilinear models of the inducing data. We also give nonvanishing criterion for these trilinear models and Ginzburg-Rallis models.

Keywords

Ginzburg-Rallis model trilinear model induced representation GL_6(k) nonvanishing criterion

Cite

@article{arxiv.2606.31402,
  title  = {On the trilinear and Ginzburg-Rallis models},
  author = {Xinrui Wang},
  journal= {arXiv preprint arXiv:2606.31402},
  year   = {2026}
}

Comments

Accepted for publication in Journal of Algebra