Neutral-fermion constructions realize factorial GP, GQ, and gq functions as vacuum expectations, producing determinantal and Pfaffian formulas plus coinciding transition coefficients described by type-A factorial Grothendieck polynomials.
Universal factorial Schur $P,Q$-functions and their duals
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abstract
We define universal factorial Schur $P,Q$-functions and their duals, which specialize to generalized (co)-homology "Schubert basis" for loop spaces of the classical groups. We also investigate some of their properties.
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math.CO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Neutral-Fermion constructions of factorial $gp$-and $gq$-Functions
Neutral-fermion constructions realize factorial GP, GQ, and gq functions as vacuum expectations, producing determinantal and Pfaffian formulas plus coinciding transition coefficients described by type-A factorial Grothendieck polynomials.