Symmetrization of representations of $G{L}_N$

Abstract

In this article, we develop a process to symmetrize the irreducible admissible representation of $G{L}_N({\mathbb{Q}}_p)$, as a consequence we obtain a more geometric understanding of the coefficient $m(\mathbf{b},\mathbf{a})$ appearing in the decomposition of parabolic inductions, which allows us to prove a conjecture posed by Zelevinsky.

References in corpus (1)

• Monoidal categorification of cluster algebras II