Hilbert series of the braid monoid MB4 in band generators

Authors : Zaffar IQBAL, Shamaila YOUSAF

Pages : 977-984

Doi:10.3906/mat-1401-58

View : 10 | Download : 6

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :L. A. Bokut gave a Gröbner--Shirshov basis of the braid group Bn in band generators. Using this presentation and solving all the ambiguities we construct a linear system for irreducible words and compute the Hilbert series of the braid monoid MB4.
Keywords : Braid monoids, Gröbner Shirshov basis, reducible and irreducible words, Hilbert series