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Quantum Groups, Hopf Algebras, and Applications: In Memory of Earl Jay Taft
 
Edited by: Susan Montgomery :  University of Southern California, Los Angeles, CA
Siu-Hung Ng :  Louisiana State University, Baton Rouge, LA
Softcover ISBN:  978-1-4704-7362-4
Product Code:  CONM/814
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-7865-0
Product Code:  CONM/814.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7362-4
eBook: ISBN:  978-1-4704-7865-0
Product Code:  CONM/814.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
Add to cart
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Quantum Groups, Hopf Algebras, and Applications: In Memory of Earl Jay Taft
Edited by: Susan Montgomery :  University of Southern California, Los Angeles, CA
Siu-Hung Ng :  Louisiana State University, Baton Rouge, LA
Softcover ISBN:  978-1-4704-7362-4
Product Code:  CONM/814
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-7865-0
Product Code:  CONM/814.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7362-4
eBook ISBN:  978-1-4704-7865-0
Product Code:  CONM/814.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 814; 2025; 264 pp
    MSC: Primary 14; 16; 17; 18; 20

    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.
    Readership

    Graduate students and research mathematicians interested in Hopf algebras, quantum groups, and tensor categories.
  • Table of Contents
     
     
    • Articles
    • Nicolás Andruskiewitsch and Héctor Martín Peña 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 Schäfer — 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 814; 2025; 264 pp
MSC: Primary 14; 16; 17; 18; 20

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.
Readership

Graduate students and research mathematicians interested in Hopf algebras, quantum groups, and tensor categories.
  • Articles
  • Nicolás Andruskiewitsch and Héctor Martín Peña 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 Schäfer — 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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