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

Shun-Jen Cheng·Weiqiang Wang·R. B. Zhang
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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-dimenisonal 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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BibTeXRIS

Shun-Jen Cheng, Weiqiang Wang, R. B. Zhang. 2006-04-17. A Fock space approach to representation theory of osp(2|2n). https://arxiv.org/abs/math/0510106

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