q-Deformed Fock spaces and modular representations of spin symmetric groups
B. Leclerc, J. -Y. Thibon
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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