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q-Deformed Fock spaces and modular representations of spin symmetric groups

B. Leclerc·J. -Y. Thibon
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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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B. Leclerc, J. -Y. Thibon. 1997-07-10. q-Deformed Fock spaces and modular representations of spin symmetric groups. https://doi.org/10.1088/0305-4470/30/17/023

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