FINITE LINEAR QUOTIENTS OF B-3 OF LOW DIMENSION Academic Article

abstract

• We study the problem of deciding whether or not the image of an irreducible representation of the braid group [Formula: see text] of degree 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.

authors

• Rowell, Eric

published proceedings

• JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS

author list (cited authors)

• Rowell, E. C., & Tuba, I.

citation count

• 3

complete list of authors

• Rowell, Eric C||Tuba, Imre

publication date

• May 2010

publisher

• World Scientific Publishing  Publisher

published in

• Journal of Knot Theory and Its Ramifications  Journal

keywords

• Braid Group
• Finite Linear Group
• Ribbon Category

Digital Object Identifier (DOI)

• 10.1142/S0218216510008005

start page

• 587

end page

• 600

volume

• 19

issue

• 5

URL

• http://dx.doi.org/10.1142/s0218216510008005