Representation and character theory in 2-categories

Details Representation and character theory in 2-categories Representation and character theory in 2-categories

2006-02-22

arxiv.org/abs/math/0602510v4

Adv. Math. 217 (2008), no. 5, 2268-2300

Mathematics

K-Theory and Homology

34 pages, revised version, to appear in Advances in Mathematics

Scientific paper

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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