Part of the Springer Monographs in Mathematics book series (SMM)


We introduce the Virasoro algebra Vir as the universal central extension of the Witt algebra. This Lie algebra is a ℤ-graded Lie algebra and it is appropriate to work within the framework of what we call Q-graded Lie algebras. Hence, we also present a categorical setup for representations of Q-graded Lie algebras and some of their properties such as local composition series, (co)homologies, and Berstein-Gelfand-Gelfand duality.


Central Extension Free Abelian Group Verma Module High Weight Vector High Weight Module 
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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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