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

abstract

• 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.

authors

• Rowell, Eric

published proceedings

• QUANTUM TOPOLOGY

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

publisher

• European Mathematical Society - EMS - Publishing House GmbH  Publisher

published in

• Quantum Topology  Journal

keywords

• Braid Group
• Quantum Group
• Quantum Torus
• Spin Representation

Digital Object Identifier (DOI)

• 10.4171/QT/85

start page

• 1

end page

• 33

volume

• 8

issue

• 1

URL

• http://dx.doi.org/10.4171/qt/85