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

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

2005-10-05

arxiv.org/abs/math/0510106v2

Transformation Groups 12 (2007), 209--225.

Mathematics

Quantum Algebra

16 pages, to appear in Transform. Groups

Scientific paper

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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