Loading [MathJax]/jax/output/HTML-CSS/jax.js

Jia Huang - 0-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra

dmtcs:2376 - 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.2376
0-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebraConference paper

Authors: Jia Huang ORCID1

  • 1 School of Mathematics

We define an action of the 0-Hecke algebra of type A on the Stanley-Reisner ring of the Boolean algebra. By studying this action we obtain a family of multivariate noncommutative symmetric functions, which specialize to the noncommutative Hall-Littlewood symmetric functions and their (q,t)-analogues introduced by Bergeron and Zabrocki. We also obtain multivariate quasisymmetric function identities, which specialize to a result of Garsia and Gessel on the generating function of the joint distribution of five permutation statistics.


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: 0-Hecke algebra,Stanley-Reisner ring,Boolean algebra,noncommutative Hall-Littlewood symmetric function,multivariate quasisymmetric function.,[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
Funding:
    Source : OpenAIRE Graph
  • Reflection Group Combinatorics; Funder: National Science Foundation; Code: 1001933

11 Documents citing this article

Consultation statistics

This page has been seen 317 times.
This article's PDF has been downloaded 317 times.