Symmetrization of representations of $GL_N$

Taiwang Deng

Symmetrization of representations of $GL_N$

Representation Theory 2019-05-15 v1 Algebraic Geometry

Authors: Taiwang Deng

Abstract

In this article, we develop a process to symmetrize the irreducible admissible representation of $GL_N(\mathbb{Q}_p)$ , 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.

Keywords

symmetrization irreducible admissible representation GL_N parabolic induction Zelevinsky conjecture p-adic group

Cite

@article{arxiv.1905.05609,
  title  = {Symmetrization of representations of $GL_N$},
  author = {Taiwang Deng},
  journal= {arXiv preprint arXiv:1905.05609},
  year   = {2019}
}

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