Molev's double supersymmetric Schur functions arise from a deformed boson-fermion correspondence whose algebraic proof works over formal Laurent series when the beta parameters are set to zero.
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On the Boson-Fermion Correspondence for Factorial Schur Functions
Molev's double supersymmetric Schur functions arise from a deformed boson-fermion correspondence whose algebraic proof works over formal Laurent series when the beta parameters are set to zero.