Explicit Formulas for 2-Characters

Abstract

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.

arXiv comment11 pages Submitted to Proceedings of the AMS

References in corpus (1)

• On unitary 2-representations of finite groups and topological quantum field theory

Cited by in corpus (4)

• Non-Invertible Symmetry Webs
• Non-invertible Symmetries and Higher Representation Theory I
• Non-invertible Symmetries and Higher Representation Theory II
• On the $3$-representations of groups and the $2$-categorical Traces