Extraspecial 2-groups and images of braid group representations Academic Article uri icon

abstract

  • We investigate a family of (reducible) representations of the braid groups [Formula: see text] corresponding to a specific solution to the YangBaxter equation. The images of [Formula: see text] 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 [Formula: see text] factoring over TemperleyLieb algebras and the corresponding link invariants.

published proceedings

  • JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS

author list (cited authors)

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

citation count

  • 65

complete list of authors

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

publication date

  • April 2006