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Representation and character theory in 2-categories

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.

preprint2007arXivOpen access

Nora Ganter Mikhail Kapranov

math.AT math.CT math.KT

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Nora Ganter Mikhail Kapranov

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