Canonical bases of higher-level q-deformed Fock spaces

Details Canonical bases of higher-level q-deformed Fock spaces Canonical bases of higher-level q-deformed Fock spaces

1999-01-08

arxiv.org/abs/math/9901032v1

Mathematics

Quantum Algebra

11 pages

Scientific paper

We define canonical bases of the higher-level q-deformed Fock space modules
of the affine Lie algebra sl(n)^. This generalizes the result of Leclerc and
Thibon for the case of level 1. We express the transition matrices between the
canonical bases and the natural bases of the Fock spaces in terms of affine
Kazhdan-Lusztig polynomials.

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