Skip to Main content Skip to Navigation
Conference papers

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

Abstract : 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.
Complete list of metadata

Cited literature [19 references]  Display  Hide  Download

https://hal.inria.fr/hal-01207589
Contributor : Coordination Episciences Iam <>
Submitted on : Thursday, October 1, 2015 - 9:28:55 AM
Last modification on : Thursday, May 6, 2021 - 9:44:04 AM
Long-term archiving on: : Saturday, January 2, 2016 - 10:43:14 AM

File

dmAT0102.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01207589, version 1

Collections

Citation

Jia Huang. $0$-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra. 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), 2014, Chicago, United States. pp.11-22. ⟨hal-01207589⟩

Share

Metrics

Record views

135

Files downloads

909