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Representation and character theory in 2-categories

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arxiv math/0602510 v4 pith:RPWPANVS submitted 2006-02-22 math.KT math.ATmath.CT

Nora Ganter , Mikhail Kapranov This is my paper · ORCID
classification math.KTmath.ATmath.CT
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We define the character of a group representation in a 2-category C. For linear C, this notion yields a Hopkins-Kuhn-Ravenel type character theory defined on pairs of commuting elements of the group. We discuss some examples and prove a formula for the character of the induced representation.

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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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