Symmetry Breaking for Irreducible Representations with Infinitesimal Character ρ

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


In this chapter, we focus on symmetry breaking operators from irreducible representations Π of G = O(n + 1, 1) with \({\mathfrak {Z}}_G({\mathfrak {g}})\)-infinitesimal character ρG to irreducible representations π of the subgroup G′ = O(n, 1) with \({\mathfrak {Z}}_{G'}({\mathfrak {g}}')\)-infinitesimal character \(\rho _{G'}\).

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© 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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