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A Fock space approach to representation theory of osp(2|2n)

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Abstract

A Fock space is introduced that admits an action of a quantum group of type A supplemented with some extra operators. The canonical and dual canonical basis of the Fock space are computed and then used to derive the finite-dimensional tilting and irreducible characters for the Lie superalgebra osp(2|2n). We also determine all the composition factors of the symmetric tensors of the natural osp(2|2n)-module.

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Authors and Affiliations

  1. Institute of Mathematics, Academia Sinica, Taipei, Taiwan

    Shun-Jen Cheng

  2. Department of Mathematics, University of Virginia, Charlottesville, VA 22904, USA

    Weiqiang Wang

  3. School of Mathematics and Statistics, University of Sydney, New South Wales 2006, Australia

    R.B. Zhang

Authors
  1. Shun-Jen Cheng
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  2. Weiqiang Wang
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  3. R.B. Zhang
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Corresponding authors

Correspondence to Shun-Jen Cheng, Weiqiang Wang or R.B. Zhang.

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Cheng, SJ., Wang, W. & Zhang, R. A Fock space approach to representation theory of osp(2|2n). Transformation Groups 12, 209–225 (2007). https://doi.org/10.1007/s00031-006-0040-5

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  • DOI: https://doi.org/10.1007/s00031-006-0040-5

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