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Character and Dimension Formulae for Queer Lie Superalgebra

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An Erratum to this article was published on 31 October 2015

Abstract

Closed formulae are constructed for the characters and dimensions of the finite dimensional simple modules of the queer Lie superalgebra \({\mathfrak{q}(n)}\). This is achieved by refining Brundan’s algorithm for computing simple \({\mathfrak{q}(n)}\)-characters.

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Authors and Affiliations

  1. Department of Mathematics, Tongji University, Shanghai, 200092, China

    Yucai Su

  2. School of Mathematics and Statistics, University of Sydney, Sydney, NSW, 2006, Australia

    R. B. Zhang

Authors
  1. Yucai Su
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  2. R. B. Zhang
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Corresponding author

Correspondence to Yucai Su.

Additional information

Communicated by Y. Kawahigashi

This work was supported by the Australian Research Council Grant No. DP0986551, NSF of China Grant No. 11371278, 11431010, SMSTC Grant No. 12XD1405000 and the Fundamental Research Funds for the Central Universities of China.

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Su, Y., Zhang, R.B. Character and Dimension Formulae for Queer Lie Superalgebra. Commun. Math. Phys. 333, 1465–1481 (2015). https://doi.org/10.1007/s00220-014-2209-4

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