DOAJ Open Access 2009

Growth function for a class of monoids

Marie Albenque Philippe Nadeau

Lihat Sumber DOI

Abstrak

In this article we study a class of monoids that includes Garside monoids, and give a simple combinatorial proof of a formula for the formal sum of all elements of the monoid. This leads to a formula for the growth function of the monoid in the homogeneous case, and can also be lifted to a resolution of the monoid algebra. These results are then applied to known monoids related to Coxeter systems: we give the growth function of the Artin-Tits monoids, and do the same for the dual braid monoids. In this last case we show that the monoid algebras of the dual braid monoids of type A and B are Koszul algebras.

Topik & Kata Kunci

Mathematics

Penulis (2)

Marie Albenque

Philippe Nadeau

Format Sitasi

APA MLA BibTeX

Albenque, M., Nadeau, P. (2009). Growth function for a class of monoids. https://doi.org/10.46298/dmtcs.2728

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2728

Informasi Jurnal

Tahun Terbit: 2009
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2728
Akses: Open Access ✓