FUSION 2-CATEGORIES WITH NO LINE OPERATORS ARE GROUPLIKE
THEO JOHNSON-FREYD, MATTHEW YU
Abstract
Abstract We show that if ${\mathcal C}$ is a fusion $2$ -category in which the endomorphism category of the unit object is or , then the indecomposable objects of ${\mathcal C}$ form a finite group.
Topics & Concepts
MathematicsIndecomposable moduleEndomorphismReal lineObject (grammar)FusionLine (geometry)Unit (ring theory)Pure mathematicsAlgebra over a fieldResolution (logic)Unit circleUnit diskFinite setDiscrete mathematicsHomotopy and Cohomology in Algebraic TopologyAlgebraic structures and combinatorial modelsFuzzy and Soft Set Theory