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<p>We associate infinitesimal characters to (twisted) families of <i>L</i>-parameters and <i>C</i>-parameters of <i>p</i>-adic reductive groups. We use the construction to study the action of the centre of the universal enveloping algebra on the locally analytic vectors in the Hecke eigenspaces in the completed cohomology.</p>

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Infinitesimal characters in arithmetic families

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月31日

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  • Gabriel Dospinescu,
  • Vytautas Paškūnas,
  • Benjamin Schraen

摘要

We associate infinitesimal characters to (twisted) families of L-parameters and C-parameters of p-adic reductive groups. We use the construction to study the action of the centre of the universal enveloping algebra on the locally analytic vectors in the Hecke eigenspaces in the completed cohomology.