Extraspecial 2-groups and images of braid group representations Institutional Repository Document uri icon


  • We investigate a family of (reducible) representations of Artin's braid groups corresponding to a specific solution to the Yang-Baxter equation. The images of the braid groups under these representations are finite groups, and we identify them precisely as extensions of extra-special 2-groups. The decompositions of the representations into their irreducible constituents are determined, which allows us to relate them to the well-known Jones representations of the braid groups factoring over Temperley-Lieb algebras and the corresponding link invariants.

author list (cited authors)

  • Franko, J., Rowell, E. C., & Wang, Z.

citation count

  • 0

complete list of authors

  • Franko, Jennifer||Rowell, Eric C||Wang, Zhenghan

Book Title

  • arXiv

publication date

  • March 2005