B₃ block representations of dimension 6 and braid reversions

2021/09/26 by Taher I. Mayassi, Mayassi, Taher I., Mohammad N. Abdulrahim +1
Mathematics · #20F36 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2109.12646

openalex publication_date 2021/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We construct a family of six dimensional block representations of the braid group B₃ on three strings. We show that some of these representations can be used to detect braid vertibility of some known knots and others of 9 and 10 crossings.

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