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

Authors: Shelton, Brittany and Skandera, Mark

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.


Volume: DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Section: Proceedings
Published on: January 1, 2012
Submitted 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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