This volume contains the proceedings of the AMS Special Session on Quantum Groups, Hopf Algebras, and Applications (in memory of Professor Earl J. Taft), which was held from October 22-23, 2022, at the University of Utah, Salt Lake City, Utah. Hopf algebras play a crucial role in many areas of mathematics, from finite groups to tensor categories, and allows researchers to make many connections between these subjects. Applications of Hopf algebras to low dimensional topology, topological quantum field theory, and condensed matter physics provide further motivation for the study of representations of Hopf algebras and their generalizations. In memory of Earl Jay Taft, a pioneer of the theory of Hopf algebras, this volume collects research articles on Hopf algebras, quantum groups, and tensor categories contributed by prominent researchers. The articles in this volume manifest the diversity and richness of the subject and contain exciting new results which will certainly have applications to different areas of mathematics and physics.
Articles
Nicolas Andruskiewitsch and Hector Martin Pena Pollastri, On the
finite-dimensional representations of the double of the Jordan plane
Yan-Hong Bao, Dong-Xing Fu, Yu Ye and James J. Zhang, 2-unitary operads of
GK-dimension 3
Pavel Etingof, Dmitri Nikshych and Victor Ostrik, On a necessary condition
for unitary categorification of fusion rings
Shlomo Gelaki and Guillermo Sanmarco, On finite group scheme-theoretical
categories, I
Istvan Heckenberger and Katharina Schafer, Left coideal subalgebras of
Nichols algebras
Siu-Hung Ng and Xingting Wang, On Hopf algebras of dimension $p^n$ in
characteristic $p$
Peter Schauenburg, Categorical Morita equivalence of pointed fusion
categories, and subgroups
Taiki Shibata and Ryota Wakao, On classification of Hopf superalgebras of
low dimension
Kenichi Shimizu, Nakayama functor for coalgebras and a categorical
perspective of the integral theory for Hopf algebras
David E. Radford, The gamma function and a certain sequence of differences
Susan Montgomery, University of Southern California, Los Angeles, CA.
Siu-Hung Ng, Louisiana State University, Baton Rouge, LA.
