Categorical representations of categorical groups
Category Theory
2007-05-23 v2 General Relativity and Quantum Cosmology
Quantum Algebra
Abstract
The representation theory for categorical groups is constructed. Each categorical group determines a monoidal bicategory of representations. Typically, these categories contain representations which are indecomposable but not irreducible. A simple example is computed in explicit detail.
Cite
@article{arxiv.math/0407463,
title = {Categorical representations of categorical groups},
author = {John W. Barrett and Marco Mackaay},
journal= {arXiv preprint arXiv:math/0407463},
year = {2007}
}
Comments
35 pages. v2: improved presentation with additional proofs