Dergiler / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 6

Hilbert series of the braid monoid MB4 in band generators

Sayfa
977–984
DOI
—

Özet

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.

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.

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