Brittany Shelton ; Mark Skandera - Hecke algebra and quantum chromatic symmetric functions

dmtcs:3062 - Discrete Mathematics & Theoretical Computer Science, January 1, 2012, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) - https://doi.org/10.46298/dmtcs.3062
Hecke algebra and quantum chromatic symmetric functionsArticle

Authors: Brittany Shelton 1; Mark Skandera 1

  • 1 Department of Mathematics

We evaluate induced sign characters of $H_n(q)$ at certain elements of $H_n(q)$ and conjecture an interpretation for the resulting polynomials as generating functions for $P$-tableaux by a certain statistic. Our conjecture relates the quantum chromatic symmetric functions of Shareshian and Wachs to $H_n(q)$ characters.

https://doi.org/10.46298/dmtcs.3062
Source: HAL:hal-01283110v1
Volume: DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Section: Proceedings
Published on: January 1, 2012
Imported on: January 31, 2017
Keywords: quantum analog.,Hecke algebra character, unit interval order, P-tableau, chromatic symmetric function,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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