Integrable highest weight modules: the character formula

  • Victor G. Kac
Part of the Progress in Mathematics book series (PM, volume 44)


The central result of this chapter is the character formula for an integrable highest weight module L(Λ) over a Kac-Moody algebra, which plays a key role in further considerations. We also study the region of convergence of characters, prove a complete reducibility theorem and find a product decomposition for the “q-dimension” of L(Λ).


Module Versus Cartan Matrix High Weight Vector Character Formula High Weight Module 
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Bibliographical notes and comments

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Copyright information

© Springer Science+Business Media New York 1983

Authors and Affiliations

  • Victor G. Kac
    • 1
  1. 1.Mathematics DepartmentMassachusetts Institute of TechnologyCambridgeUSA

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