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Symmetry Breaking Operators for Irreducible Representations with Infinitesimal Character ρ: Proof of Theorems4.1 and 4.2

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

Abstract

In the first half of this chapter, we give a proof of Theorems  4.1 and  4.2 that determine the dimension of the space of symmetry breaking operators from irreducible representations Π of G = O(n + 1, 1) to irreducible representations π of the subgroup G′ = O(n, 1) when both Π and π have the trivial infinitesimal characters ρ, or equivalently by Theorem  2.20 (2).

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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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