q-Deformed Fock spaces and modular representations of spin symmetric groups
نویسندگان
چکیده
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.
منابع مشابه
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Framework for constructing Fock spaces associated either with certain solutions of the quantum Yang-Baxter equation or with infinite dimensional Hecke algebra is presented. For the former case, the quantum deformed oscillator algebra associated with the solution of the quantum Yang-Baxter equation is found. During last decade much attention have been paid to the quantum (q-deformed) groups and ...
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