Categorical representations of categorical groups

Details Categorical representations of categorical groups Categorical representations of categorical groups

2004-07-27

arxiv.org/abs/math/0407463v2

Theory and Applications of Categories, Vol. 16, 2006, No. 20, pp 529-557

Mathematics

Category Theory

35 pages. v2: improved presentation with additional proofs

Scientific paper

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.

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