Singular braids and partial permutations

James East

doi:10.14232/actasm-014-012-7

Singular braids and partial permutations

James East

Western Sydney University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We introduce and study the partial singular braid monoid PSBn, a monoid that contains both the inverse braid monoid IBn and the singular braid monoid SBn. Our main results include a characterization of Green’s relations, a presentation in terms of generators and relations, and a proof that PSBn embeds in the semigroup algebra C[IBn].

Original language	English
Pages (from-to)	55-77
Number of pages	23
Journal	Acta Scientiarum Mathematicarum
Volume	81
Issue number	45323
DOIs	https://doi.org/10.14232/actasm-014-012-7
Publication status	Published - 2015

Keywords

braid groups
monoids

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10.14232/actasm-014-012-7

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title = "Singular braids and partial permutations",

abstract = "We introduce and study the partial singular braid monoid PSBn, a monoid that contains both the inverse braid monoid IBn and the singular braid monoid SBn. Our main results include a characterization of Green{\textquoteright}s relations, a presentation in terms of generators and relations, and a proof that PSBn embeds in the semigroup algebra C[IBn].",

keywords = "braid groups, monoids",

author = "James East",

year = "2015",

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language = "English",

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pages = "55--77",

journal = "Acta Scientiarum Mathematicarum",

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T1 - Singular braids and partial permutations

AU - East, James

PY - 2015

Y1 - 2015

N2 - We introduce and study the partial singular braid monoid PSBn, a monoid that contains both the inverse braid monoid IBn and the singular braid monoid SBn. Our main results include a characterization of Green’s relations, a presentation in terms of generators and relations, and a proof that PSBn embeds in the semigroup algebra C[IBn].

AB - We introduce and study the partial singular braid monoid PSBn, a monoid that contains both the inverse braid monoid IBn and the singular braid monoid SBn. Our main results include a characterization of Green’s relations, a presentation in terms of generators and relations, and a proof that PSBn embeds in the semigroup algebra C[IBn].

KW - braid groups

KW - monoids

UR - http://handle.uws.edu.au:8081/1959.7/uws:34777

U2 - 10.14232/actasm-014-012-7

DO - 10.14232/actasm-014-012-7

M3 - Article

SN - 0001-6969

VL - 81

SP - 55

EP - 77

JO - Acta Scientiarum Mathematicarum

JF - Acta Scientiarum Mathematicarum

IS - 45323

ER -

Singular braids and partial permutations

Abstract

Keywords

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