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Proceedings of the London Mathematical Society· 2026Q1

On an Ichino–Ikeda type formula of Whittaker periods for unitary groups

Kazuki Morimoto

Short summary

A new formula for Whittaker periods is proven for irreducible cuspidal globally generic automorphic representations of quasi-split unitary groups.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Proves the Ichino-Ikeda type formula for Whittaker periods.
  • Applies to irreducible cuspidal globally generic automorphic representations.
  • Focuses on quasi-split unitary groups.

AI-generated from the title and abstract; the full text is not read.

Abstract

Abstract Lapid and Mao conjectured an Ichino–Ikeda type formula of Whittaker periods for any quasi‐split reductive groups and metaplectic groups. In this paper, we prove this formula for any irreducible cuspidal globally generic automorphic representation of quasi‐split unitary groups.

The authors' abstract, as published at the source. Proceedings of the London Mathematical Society, 2026 · DOI ↗

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Field: Mathematical Physics

Mathematical PhysicsMathematics