On Z/2Z-extensions of pointed fusion categories
Leonid Vainerman, Jean-Michel Vallin
TL;DR
This paper classifies Z/2Z-graded fusion categories with pointed 0-components, providing a framework for understanding their structure and exploring specific examples within this classification.
Contribution
It offers a complete classification of Z/2Z-extensions of pointed fusion categories, expanding understanding of their structure and examples.
Findings
Classification of Z/2Z-graded fusion categories with pointed 0-components
Concrete examples illustrating the classification
Framework for constructing and analyzing such categories
Abstract
We give a classification of Z/2Z-graded fusion categories whose 0-component is a pointed fusion category. A number of concrete examples is considered.
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
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Rings, Modules, and Algebras