Unitarisable Harish-Chandra Modules

  • Kenji Iohara
  • Yoshiyuki Koga
Part of the Springer Monographs in Mathematics book series (SMM)


We show that certain irreducible highest weight Vir-modules are unitarisable with the aid of unitarisability of integrable highest weight \(\hat {\mathfrak {sl}}_{2}\)-modules. The complete classification of the unitarisable Harish-Chandra modules is given as the goal of these two chapters.


Unitarisable Representation Hermitian Form Weight Module Verma Module Step Versus 
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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Institut Camille JordanUniversité Claude Bernard Lyon 1Villeurbanne CedexFrance
  2. 2.Department of Applied Physics, Faculty of EngineeringUniversity of FukuiFukuiJapan

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