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Explicit Formulas for 2-Characters

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arxiv 0904.4414 v1 pith:A3Y63VFT submitted 2009-04-28 math.AT math.CT

Angélica Osorno This is my paper · ORCID
classification math.ATmath.CT
keywords charactercohomologicaldataexplicitrepresentationstermsassociatedcategory
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Ganter and Kapranov associated a 2-character to 2-representations of a finite group. Elgueta classified 2-representations in the category of 2-vector spaces 2Vect_k in terms of cohomological data. We give an explicit formula for the 2-character in terms of this cohomological data and derive some consequences.

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  1. Unitary Categorical Symmetries

    hep-th 2025-02 conditional novelty 5.0 of 10

    The paper proposes that twisted-sector local operators transform in *-representations of the tube algebra of a higher fusion category symmetry, and classifies these representations using higher S-matrices.

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