A Fock space approach to representation theory of osp(2|2n)
Quantum Algebra
2011-11-09 v2 Representation Theory
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.
Keywords
Cite
@article{arxiv.math/0510106,
title = {A Fock space approach to representation theory of osp(2|2n)},
author = {Shun-Jen Cheng and Weiqiang Wang and R. B. Zhang},
journal= {arXiv preprint arXiv:math/0510106},
year = {2011}
}
Comments
16 pages, to appear in Transform. Groups