Finite Linear Quotients of $B_3$ of Low Dimension Institutional Repository Document uri icon


  • We study the problem of deciding whether or not the image of an irreducible representation of the braid group $B_3$ of degree $leq 5$ has finite image if we are only given the eigenvalues of a generator. We provide a partial algorithm that determines when the images are finite or infinite in all but finitely many cases, and use these results to study examples coming from quantum groups. Our technique uses two classification theorems and the computational group theory package GAP.

author list (cited authors)

  • Rowell, E. C., & Tuba, I.

complete list of authors

  • Rowell, Eric C||Tuba, Imre

Book Title

  • arXiv

publication date

  • June 2008