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This document summarizes research on monoidal autoequivalences of the category of Yetter-Drinfeld modules over a finite group G. It presents partial results on decomposing the group of Hopf algebra automorphisms of the Drinfeld double DG into subgroups. For a group G with no abelian direct factors, the automorphism group factors exactly into subgroups related to automorphisms of G and its dual. The document also proposes decomposing the Hopf cohomology of DG∗ into subgroups but only provides partial results

Author

Nico Brasil

Language

EN