Some remarks on relative modular categories
We study properties of relative modular categories and derive sufficient\nconditions for their existence. In particular, we derive sufficient conditions\nfor relative pre-modular categories to be non-degenerate and relative modular,\nand for the quotient of categories taking a particular form by their ideal of\nnegligible modules to be generically semi-simple.\n
Authors
- Matthew Rupert
- Nathan Geer (ORCID: https://orcid.org/0000-0002-1285-4746)
- Bertrand Patureau‐Mirand (ORCID: https://orcid.org/0000-0001-6040-9025)
Institutions
- Utah State University (US)
- Université de Bretagne Occidentale (FR)
- Université de Bretagne Sud (FR)
- University of Saskatchewan (CA)
- Laboratoire de Mathématiques de Bretagne Atlantique (FR)
Publication Details
- Journal
- Journal of Pure and Applied Algebra
- Published
- 2024-09-10
- DOI
- https://doi.org/10.1016/j.jpaa.2024.107801
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00