English

Some remarks on relative modular categories

Representation Theory 2021-11-01 v1 Category Theory Quantum Algebra

Abstract

We study properties of relative modular categories and derive sufficient conditions for their existence. In particular, we derive sufficient conditions for relative pre-modular categories to be non-degenerate and relative modular, and for the quotient of categories taking a particular form by their ideal of negligible modules to be generically semi-simple.

Keywords

Cite

@article{arxiv.2110.15518,
  title  = {Some remarks on relative modular categories},
  author = {Nathan Geer and Bertrand Patureau-Mirand and Matthew Rupert},
  journal= {arXiv preprint arXiv:2110.15518},
  year   = {2021}
}

Comments

25 pages

R2 v1 2026-06-24T07:17:04.913Z