Title of article :
Hilbert series of the braid monoid MB_4 in band generators
Author/Authors :
IQBAL, ZAFFAR University of Gujrat - Department of Mathematics, Pakistan , YOUSAF, SHAMAILA University of Gujrat - Department of Mathematics, Pakistan
Abstract :
L. A. Bokut gave a Gröbner--Shirshov basis of the braid group B_n 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 MB_4.
Keywords :
Braid monoids , Gröbner , , Shirshov basis , reducible and irreducible words , Hilbert series
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
