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Symmetrization of representations of $GL_N$

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 نشر من قبل Taiwang Deng
 تاريخ النشر 2019
  مجال البحث
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 تأليف Taiwang Deng




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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.



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