2015/02/08 by Peter Schauenburg, Schauenburg, Peter
Mathematics · #16T05 #18D10 #20C15 #Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.CT #math.QA #math.RA #msc:16T05 #msc:18D10 #msc:20C15
paper · pdf · doi:10.48550/arxiv.1502.02314
29 pages
arxiv created 2015/02/08 · arxiv updated 2015/02/10
We consider a subclass of the class of group-theoretical fusion categories: To every finite group G and subgroup H one can associate the category of G-graded vector spaces with a two-sided H-action compatible with the grading. We derive a formula that computes higher Frobenius-Schur indicators for the objects in such a category using the combinatorics and representation theory of the groups involved in their construction. We calculate some explicit examples for inclusions of symmetric groups.