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Deformations of Weyl's Denominator Formula

Abstract : We introduce a series of conjectured identities that deform Weyl's denominator formula and generalize Tokuyama's formula to other root systems. These conjectures generalize a number of well-known results due to Okada. We also prove a related result for $B'_n$ that generalizes a theorem of Simpson.
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https://hal.inria.fr/hal-01207604
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Angêle M. Hamel, Ronald C. King. Deformations of Weyl's Denominator Formula. 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), 2014, Chicago, United States. pp.429-440, ⟨10.46298/dmtcs.2412⟩. ⟨hal-01207604⟩

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