Articles in this volume are based on talks given at the International Workshop on Hopf Algebras and Tensor Categories, held from September 9-13, 2019, at Nanjing University, Nanjing, China.The articles highlight the latest advances and further research directions in a variety of subjects related to tensor categories and Hopf algebras.Primary topics discussed in the text include the classification of Hopf algebras, structures and actions of Hopf algebras, algebraic supergroups, representations of quantum groups, quasi-quantum groups, algebras in tensor categories, and the construction method of fusion categories.
Nicolas Andruskiewitsch, Universidad Nacional de Cordoba-CONICET, Argentina.Gongxiang Liu, Nanjing University, China.Susan Montgomery, University of Southern California, Los Angeles, CA.Yinhuo Zhang, University of Hasselt, Hesselt, Belgium.
G. Bohm and J. Vercruysse, BiHom Hopf algebras viewed as Hopf monoidsK. A. Brown and J. J. Zhang, Survey on Hopf algebras of GK-dimension 1 and 2D. Bulacu and B. Torrecillas, On braided double-biproduct Hopf algebrasJ. Fuchs, G. Schaumann, and C. Schweigert, Module Eilenberg-Watts calculusL. Guo and L. Li, Coherent unit actions on braided operads and Hopf algebrasN. Hu and R. Zhuang, A novel quantum affine algebra of type $A^{(1)}_1$ and its PBW basisH.-L. Huang, G. Liu, Y. Yang, and Y. Ye, Finite quasi-quantum groups over abelian groupsY. Kashina and Y. Sommerhauser, On biproducts and extensionsS. Natale, On the notion of exact sequence: From Hopf algebras to tensor categoriesT. Shibata, Algebraic supergroups and their representationsK. Shimizu, Hopf algebraic methods in finite tensor categories: characters and integralsM. Wakui, Indecomposability of weak Hopf algebrasY. Yang and Y. Zhang, Quasi-Hopf algebras of Cartan type and small quasi-quantum groups