Hilbert series of right-angled affine Artin monoid $M(\widetilde{A}^{\infty}_{n})$

Authors

  • Zaffar Iqbal Assistant Professor University of Gujrat Pakistan
  • Sidra Batool
  • Muhammad Akram

Keywords:

Growth rate, Hilbert series, irreducible words.

Abstract

It is already proved that the growth rate of all the spherical Artin monoids is less than 4. In this paper, we find the Hilbert series of the associated right-angled affine Artin monoid M and also we discuss the recurrence relations and the growth of the monoid M .

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Published

01-11-2017