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In previous work we showed that two apparently unrelated formulas for theHall-Littlewood polynomials of type A are, in fact, closely related. The firstis the tableau formula obtained by specializing q=0 in the Haglund-Haiman-Loehrformula for Macdonald polynomials. The second is the type $A$ instance ofSchwer's formula (rephrased and rederived by Ram) for Hall-Littlewoodpolynomials of arbitrary finite type; Schwer's formula is in terms of so-calledalcove walks, which originate in the work of Gaussent-Littelmann and of theauthor with Postnikov on discrete counterparts to the Littelmann path model. Weshowed that the tableau formula follows by "compressing" Ram's version ofSchwer's formula. In this paper, we derive tableau formulas for theHall-Littlewood polynomials of type B and C by compressing the correspondinginstances of Schwer's formula.

Haglund-Haiman-Loehr Type Formulas for Hall-Littlewood Polynomials of Type B and C