Shamaila YOUSAF, Zaffar IQBAL

Hilbert series of the braid monoid MB4 in band generators

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.

Anahtar Kelimeler:

Braid monoids, Gröbner--Shirshov basis, reducible and irreducible words, Hilbert series

Hilbert series of the braid monoid MB4 in band generators

Keywords:

Braid monoids, Gröbner--Shirshov basis, reducible and irreducible words, Hilbert series,

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