2005/03/31 by Siu-Hung Ng, Peter Schauenburg · 2 citations
Mathematics · #math.QA #math.CT
paper · pdf · doi:10.1090/conm/441/08500
published as Contemporary Mathematics 441 (2007), 63-90 · A paragraph which describes the organization of the paper has been added to the introduction. Some observations have been added to Theorems 5.1 and 7.6
arxiv created 2005/12/31 · arxiv updated 2015/11/13
We define higher Frobenius-Schur indicators for objects in linear pivotal monoidal categories. We prove that they are category invariants, and take values in the cyclotomic integers. We also define a family of natural endomorphisms of the identity endofunctor on a k-linear semisimple rigid monoidal category, which we call the Frobenius-Schur endomorphisms. For a k-linear semisimple pivotal monoidal category -- where both notions are defined --, the Frobenius-Schur indicators can be computed as traces of the Frobenius-Schur endomorphisms.