Results 21 to 30 of about 710,004 (69)
Module categories for permutation modular invariants
, 2010 We show that a braided monoidal category C can be endowed with the structure of a right (and left) module category over C \times C. In fact, there is a family of such module category structures, and they are mutually isomorphic if and only if C allows ...
Barmeier, Till +3 more
core +1 more source
The category of categories with pullbacks is cartesian closed [PDF]
arXiv, 2009 We show that the category of categories with pullbacks and pullback preserving functors is cartesian closed.
arxiv
Internal Kleisli categories [PDF]
arXiv, 2009 A construction of Kleisli objects in 2-categories of noncartesian internal categories or categories internal to monoidal categories is presented.
arxiv
2 Category of FRBSU Monoidal Categories and Crossed Modules [PDF]
arXiv, 2015 In that paper, we prove that the collection of all FRBSU monoidal categories and the collection of all crossed modules form a 2 category.
arxiv
Monads of regular theories [PDF]
arXiv, 2012 We characterize the category of monads on $Set$ and the category of Lawvere theories that are equivalent to the category of regular equational theories.
arxiv
Tensors, !-graphs, and non-commutative quantum structures
, 2014 Categorical quantum mechanics (CQM) and the theory of quantum groups rely heavily on the use of structures that have both an algebraic and co-algebraic component, making them well-suited for manipulation using diagrammatic techniques.
Kissinger, Aleks, Quick, David
core +2 more sources
External triangulation of the homotopy category of exact quasi-category [PDF]
arXiv, 2020 Extriangulated categories axiomatize extension-closed subcategories of triangulated categories. We show that the homotopy category of an exact quasi-category can be equipped with a natural extriangulated structure.
arxiv
Strictification of categories weakly enriched in symmetric monoidal categories [PDF]
arXiv, 2009 We offer two proofs that categories weakly enriched over symmetric monoidal categories can be strictified to categories enriched in permutative categories. This is a "many 0-cells" version of the strictification of bimonoidal categories to strict ones.
arxiv
Categorification and correlation functions in conformal field theory
, 2006 A modular tensor category provides the appropriate data for the construction of a three-dimensional topological field theory. We describe the following analogue for two-dimensional conformal field theories: a 2-category whose objects are symmetric ...
Fuchs, Jurgen +2 more
core +1 more source
Modular categories from finite crossed modules
, 2011 It is known that finite crossed modules provide premodular tensor categories. These categories are in fact modularizable. We construct the modularization and show that it is equivalent to the module category of a finite Drinfeld double.Comment: 21 pages,
Maier, Jennifer, Schweigert, Christoph
core +1 more source