On the Lefschetz Principle for $\mathrm{GL}(n,\mathbb{C})$ and $\mathrm{GL}(m,{\mathbb{Q}}_p)$

Kei Yuen Chan, Kayue Daniel Wong

We construct an exact functor from the category of Harish-Chandra modules of ${\mathrm{GL}}_n(\mathbb{C})$ to the category of finite-dimensional modules of graded Hecke algebras of ty…