DOAJ Open Access 2014

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

Jia Huang

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (1)

Jia Huang

Format Sitasi

APA MLA BibTeX

Huang, J. (2014). $0$-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra. https://doi.org/10.46298/dmtcs.2376

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2376

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2376
Akses: Open Access ✓