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Generalized Loop Modules for Affine Kac–Moody Algebras

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Developments and Retrospectives in Lie Theory

Part of the book series: Developments in Mathematics ((DEVM,volume 38))

Abstract

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.

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Acknowledgements

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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Authors and Affiliations

  1. Institute of Mathematics, University of São Paulo, Caixa Postal 66281, CEP 05314-970, São Paulo, Brazil

    Vyacheslav Futorny & Iryna Kashuba

Authors
  1. Vyacheslav Futorny
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  2. Iryna Kashuba
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Corresponding author

Correspondence to Vyacheslav Futorny .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of California, Santa Cruz, Santa Cruz, California, USA

    Geoffrey Mason

  2. Jacobs University, Bremen, Germany

    Ivan Penkov

  3. Department of Mathematics, University of California, Berkeley, Berkeley, California, USA

    Joseph A. Wolf

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Futorny, V., Kashuba, I. (2014). Generalized Loop Modules for Affine Kac–Moody Algebras. In: Mason, G., Penkov, I., Wolf, J. (eds) Developments and Retrospectives in Lie Theory. Developments in Mathematics, vol 38. Springer, Cham. https://doi.org/10.1007/978-3-319-09804-3_8

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