Representation and character theory in 2-categories
K-Theory and Homology
2011-10-11 v4 Algebraic Topology
Category Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0602510,
title = {Representation and character theory in 2-categories},
author = {Nora Ganter and Mikhail Kapranov},
journal= {arXiv preprint arXiv:math/0602510},
year = {2011}
}
Comments
34 pages, revised version, to appear in Advances in Mathematics