Generalized Loop Modules for Affine Kac–Moody Algebras

  • Vyacheslav FutornyEmail author
  • Iryna Kashuba
Part of the Developments in Mathematics book series (DEVM, volume 38)


We construct new families of irreducible modules for any affine Kac–Moody algebra by considering the parabolic induction from irreducible modules over the Heisenberg subalgebra with a nonzero central charge.

Key words

Kac–Moody algebra Loop module Parabolic induction Heisenberg subalgebra 

Mathematics Subject Classification (2010):




The first author was supported in part by the CNPq grant (301320/2013-6) and by the Fapesp grant (2014/09310-5). The second author was supported by the CNPq grant (309742/2013-7).


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of São PauloSão PauloBrazil

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