Open Physics (Aug 2018)

On right-angled spherical Artin monoid of type Dn

  • Iqbal Zaffar,
  • Nizami Abdul Rauf,
  • Munir Mobeen,
  • Rabia Amlish,
  • Kang Shin Min

DOI
https://doi.org/10.1515/phys-2018-0061
Journal volume & issue
Vol. 16, no. 1
pp. 441 – 447

Abstract

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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.

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