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Appendix III: A Translation Functor for G = O(n + 1, 1)

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

Abstract

In this chapter, we discuss a translation functor for the group G = O(n + 1, 1), which is not in the Harish-Chandra class if n is even, in the sense that \(\operatorname {Ad}(G)\) is not contained in the group \(\operatorname {Int}({\mathfrak {g}}_{\mathbb {C}})\) of inner automorphisms.

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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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