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Transformation Groups

, Volume 12, Issue 2, pp 209–225 | Cite as

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

  • Shun-Jen ChengEmail author
  • Weiqiang WangEmail author
  • R.B. ZhangEmail author
Article

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.

Keywords

Irreducible Character Composition Factor High Weight Vector Character Formula Bruhat Order 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhauser Boston 2007

Authors and Affiliations

  1. 1.Institute of Mathematics, Academia SinicaTaipeiTaiwan
  2. 2.Department of Mathematics, University of VirginiaCharlottesville, VA 22904USA
  3. 3.School of Mathematics and Statistics, University of SydneyNew South Wales 2006Australia

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