Canonical bases of higher-level q-deformed Fock spaces

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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.
11 pages

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Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/77938

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9901032
 http://arxiv.org/abs/math/9901032

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arXiv