%0 Journal Article
%T Duflo involutions for 2-categories associated to tree quivers
%A Xiaoting Zhang
%J Mathematics
%D 2015
%I arXiv
%X Motivated by the definition of Duflo involution for fiat $2$-categories, we define certain analogues of Duflo involution for arbitrary finitary $2$-categories and show that such Duflo involutions exist for two classes of finitary $2$-categories associated with tree path algebras. Additionally, we describe the quiver for the algebra underlying the principal $2$-representation for these two classes of finitary $2$-categories.
%U http://arxiv.org/abs/1501.03052v1