English

Braid group representations from twisted tensor products of algebras

Quantum Algebra 2019-06-20 v1 Representation Theory

Abstract

We unify and generalize several approaches to constructing braid group representations from finite groups, using iterated twisted tensor products. Our results hint at a relationship between the braidings on the GG-gaugings of a pointed modular category C(A,Q)\mathcal{C}(A,Q) and that of C(A,Q)\mathcal{C}(A,Q) itself.

Keywords

Cite

@article{arxiv.1906.08153,
  title  = {Braid group representations from twisted tensor products of algebras},
  author = {Paul Gustafson and Andrew Kimball and Eric C. Rowell and Qing Zhang},
  journal= {arXiv preprint arXiv:1906.08153},
  year   = {2019}
}