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Application II: Periods, Distinguished Representations and \((\mathfrak {g},K)\)-cohomologies

  • Toshiyuki Kobayashi
  • Birgit Speh
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2234)

Abstract

Let H be a subgroup of G. Following the terminology used in automorphic forms and the relative trace formula, we say that a smooth representation U of G is H-distinguished if there exists a nontrivial H-invariant linear functional.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Toshiyuki Kobayashi
    • 1
    • 2
  • Birgit Speh
    • 3
  1. 1.Graduate School of Mathematical SciencesThe University of TokyoKomabaJapan
  2. 2.Kavli IPMUKashiwaJapan
  3. 3.Department of MathematicsCornell UniversityIthacaUSA

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