On right-angled spherical Artin monoid of type Dn
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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2018-08-01
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| Series: | Open Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/phys-2018-0061 |
| Summary: | 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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| ISSN: | 2391-5471 |