dorsal/arxiv
View SchemaCanonical bases of q-deformed Fock spaces
| Authors | Bernard Leclerc, Jean-Yves Thibon |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9602025 |
| URL | https://arxiv.org/abs/q-alg/9602025 |
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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"abstract": "We define a canonical basis of the $q$-deformed Fock space representation of\nthe affine Lie algebra $\\glchap_n$. We conjecture that the entries of the\ntransition matrix between this basis and the natural basis of the Fock space\nare $q$-analogues of decomposition numbers of the $v$-Schur algebras for $v$\nspecialized to a $n$th root of unity.",
"arxiv_id": "q-alg/9602025",
"authors": [
"Bernard Leclerc",
"Jean-Yves Thibon"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Canonical bases of q-deformed Fock spaces",
"url": "https://arxiv.org/abs/q-alg/9602025"
},
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