Angêle Hamel ; Ronald King - Deformations of Weyl's Denominator Formula

dmtcs:2412 - Discrete Mathematics & Theoretical Computer Science, January 1, 2014, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) - https://doi.org/10.46298/dmtcs.2412
Deformations of Weyl's Denominator FormulaArticle

Authors: Angêle Hamel 1; Ronald King 2

  • 1 Department of Physics and Computer Science [Waterloo]
  • 2 School of Mathematics [Southampton]

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.

https://doi.org/10.46298/dmtcs.2412
Source: HAL:hal-01207604v1
Volume: DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
Section: Proceedings
Published on: January 1, 2014
Imported on: November 21, 2016
Keywords: lattice paths,alternating sign matrices,Weyl's denominator formula,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]
Funding:
    Source : OpenAIRE Graph
  • Funder: Natural Sciences and Engineering Research Council of Canada

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