dorsal/arxiv
View Schemaq-Deformed Fock spaces and modular representations of spin symmetric groups
| Authors | B. Leclerc, J. -Y. Thibon |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9702001 |
| URL | https://arxiv.org/abs/q-alg/9702001 |
| DOI | 10.1088/0305-4470/30/17/023 |
Abstract
We use the Fock space representation of the quantum affine algebra of type $A^{(2)}_{2n}$ to obtain a description of the global crystal basis of its basic level 1 module. We formulate a conjecture relating this basis to decomposition matrices of spin symmetric groups in characteristic $2n+1$.
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"abstract": "We use the Fock space representation of the quantum affine algebra of type\n$A^{(2)}_{2n}$ to obtain a description of the global crystal basis of its basic\nlevel 1 module. We formulate a conjecture relating this basis to decomposition\nmatrices of spin symmetric groups in characteristic $2n+1$.",
"arxiv_id": "q-alg/9702001",
"authors": [
"B. Leclerc",
"J. -Y. Thibon"
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"doi": "10.1088/0305-4470/30/17/023",
"title": "q-Deformed Fock spaces and modular representations of spin symmetric groups",
"url": "https://arxiv.org/abs/q-alg/9702001"
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