On fusion categories with few irreducible degrees
Sonia Natale, Julia Yael Plavnik
TL;DR
This paper investigates the structure of specific integral fusion categories and semisimple Hopf algebras by analyzing how restrictions on their irreducible degrees influence their properties.
Contribution
It provides new structural results for fusion categories and Hopf algebras with limited irreducible degrees, advancing understanding in this area.
Findings
Characterization of fusion categories with restricted irreducible degrees
Structural theorems for semisimple Hopf algebras under degree constraints
Insights into the classification of integral fusion categories
Abstract
We prove some results on the structure of certain classes of integral fusion categories and semisimple Hopf algebras under restrictions on the set of its irreducible degrees.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology