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Kac–Moody Superalgebras and Integrability

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Developments and Trends in Infinite-Dimensional Lie Theory

Part of the book series: Progress in Mathematics ((PM,volume 288))

Summary

The first part of this paper is a review and systematization of known results on (infinite-dimensional) contragredient Lie superalgebras and their representations. In the second part, we obtain character formulae for integrable highest weight representations of sl (1|n) and osp (2|2n); these formulae were conjectured by Kac–Wakimoto.

2000 Mathematics Subject Classifications: Primary 17B67. Secondary 17B20.

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References

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, University of California at Berkeley, Berkeley, CA, 94720, USA

    Vera Serganova

Authors
  1. Vera Serganova
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Correspondence to Vera Serganova .

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Editors and Affiliations

  1. Friedrich-Alexander-Universität Erlangen, Department of Mathematics, Bismarckstrasse 1 1/2, Erlangen, 91054, Germany

    Karl-Hermann Neeb

  2. University of Alberta, Department of Mathematical Sciences, Edmonton, T6G 2G1, Alberta, Canada

    Arturo Pianzola

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Serganova, V. (2011). Kac–Moody Superalgebras and Integrability. In: Neeb, KH., Pianzola, A. (eds) Developments and Trends in Infinite-Dimensional Lie Theory. Progress in Mathematics, vol 288. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4741-4_6

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