Geodesic
Deformations of Weyl's Denominator Formula
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) (2014).

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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. 
@article{DMTCS_2014_special_265_a37,
     author = {Hamel, Ang\^ele and King, Ronald},
     title = {Deformations of {Weyl's} {Denominator} {Formula}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)},
     year = {2014},
     doi = {10.46298/dmtcs.2412},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2412/}
}
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Hamel, Angêle; King, Ronald. Deformations of Weyl's Denominator Formula. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) (2014). doi : 10.46298/dmtcs.2412. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2412/

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