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Categorical representations of categorical groups

John W. Barrett·Marco Mackaay
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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.

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John W. Barrett, Marco Mackaay. 2004-09-17. Categorical representations of categorical groups. https://arxiv.org/abs/math/0407463

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