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

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

1997-01-31

arxiv.org/abs/q-alg/9702001v3

Mathematics

Quantum Algebra

18 pages, Latex, epsf and iop macros (ioplppt.sty). Revised version, to appear in J. Phys. A. Some typos corrected, and some c

Scientific paper

10.1088/0305-4470/30/17/023

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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