On right-angled spherical Artin monoid of type Dn

Autor: Iqbal Zaffar, Nizami Abdul Rauf, Munir Mobeen, Rabia Amlish, Kang Shin Min
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Open Physics, Vol 16, Iss 1, Pp 441-447 (2018)
Druh dokumentu: article
ISSN: 2391-5471
DOI: 10.1515/phys-2018-0061
Popis: Recently Berceanu and Iqbal proved that the growth rate of all the spherical Artin monoids is bounded above by 4. In this paper we compute the Hilbert series of the right-angled spherical Artin monoid M(Dn∞)$\begin{array}{} M({D}^{\infty}_{n}) \end{array} $ and graphically prove that growth rate is bounded by 4. We also discuss its recurrence relations and other main properties.
Databáze: Directory of Open Access Journals