SO(N)(2) braid group representations are Gaussian Academic Article uri icon


  • European Mathematical Society. We give a description of the centralizer algebras for tensor powers of spin objects in the pre-modular categories SO(N)2 (for N odd) and O(N)2 (for N even) in terms of quantum (n-1)-tori, via non-standard deformations of UsoN. As a consequence we show that the corresponding braid group representations are Gaussian representations, the images of which are finite groups. This verifies special cases of a conjecture that braid group representations coming from weakly integral braided fusion categories have finite image.

published proceedings


altmetric score

  • 0.75

author list (cited authors)

  • Rowell, E. C., & Wenzl, H.

citation count

  • 9

complete list of authors

  • Rowell, Eric C||Wenzl, Hans

publication date

  • January 2017