A Duality among Verma Modules

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


The tilting equivalence for a certain class of ℤ-graded Lie algebras is explained. In particular, for the Virasoro algebra, this explains the structural duality between Verma modules with highest weights (c,h) and (26−c,1−h) which can be observed by analyzing Verma modules. This chapter can be read independently of other chapters.


Exact Sequence Short Exact Sequence Natural Transformation Full Subcategory Abelian Category 
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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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