Quantum Groups, Hopf Algebras, and Applications: In Memory of Earl Jay Taft(Contemporary Mathematics)

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.

Table of Contents:
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

About the Author :
Susan Montgomery, University of Southern California, Los Angeles, CA. Siu-Hung Ng, Louisiana State University, Baton Rouge, LA.