The paper finds bivariate generating functions and bijections for the k=1 cases of conjectured colored partition identities, linking them to Andrews-Gordon identities and known results of Jing et al.
Annihilating fields of sta ndard modules of sl(2, C)∼ and combinatorial identities
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Companions to the Andrews-Gordon and Andrews-Bressoud Identities and Recent Conjectures of Capparelli, Meurman, Primc, and Primc
The paper finds bivariate generating functions and bijections for the k=1 cases of conjectured colored partition identities, linking them to Andrews-Gordon identities and known results of Jing et al.