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Canonical bases of q-deformed Fock spaces

Bernard Leclerc·Jean-Yves Thibon
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Abstract

We define a canonical basis of the $q$-deformed Fock space representation of the affine Lie algebra $\glchap_n$. We conjecture that the entries of the transition matrix between this basis and the natural basis of the Fock space are $q$-analogues of decomposition numbers of the $v$-Schur algebras for $v$ specialized to a $n$th root of unity.

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BibTeXRIS

Bernard Leclerc, Jean-Yves Thibon. 1996-02-16. Canonical bases of q-deformed Fock spaces. https://arxiv.org/abs/q-alg/9602025

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