Hilbert series of the braid monoid MB_4 in band generators

Authors: ZAFFAR IQBAL, SHAMAILA YOUSAF

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

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