For a finite braided tensor category we introduce its Picard crossed module consisting of the group of invertible -module categories and the group of braided tensor autoequivalences of . We describe in terms of braided autoequivalences of the Drinfeld center of . As an illustration, we compute the Picard crossed module of a braided pointed fusion category.
"The Picard crossed module of a braided tensor category." Algebra Number Theory 7 (6) 1365 - 1403, 2013. https://doi.org/10.2140/ant.2013.7.1365