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Quantum groups, Hopf algebras, and applications : in memory of Earl Jay Taft : AMS Special Session in Honor of Earl J. Taft : Quantum Groups, Hopf Algebras, and Applications, October 22-23, 2022, University of Utah, Salt Lake City, Utah / Susan Montgomery, Siu-Hung Ng, editors
HerausgeberMontgomery, Susan ; Ng, Siu-Hung
Gefeierte PersonTaft, Earl J.
Name der KonferenzAMS Special Session Quantum Groups, Hopf Algebras, and Applications 2022 Salt Lake City, Utah
ErschienenProvidence, Rhode Island : American Mathematical Society ; © 2025, [2025]
Umfangviii, 264 Seiten
Anmerkung
Includes bibliographical references
Serie
Contemporary mathematics ; 814
SchlagwörterHopf algebras / Congresses / Quantum groups / Congresses / Algebraic geometry -- Algebraic groups -- Group schemes / Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applications / Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Ring-theoretic aspects of quantum groups / Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- None of the above, but in this section / Nonassociative rings and algebras -- General nonassociative rings -- Superalgebras / Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Quantum groups (quantized enveloping algebras) and related deformations / Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Lie bialgebras; Lie coalgebras / Group theory and generalizations -- Linear algebraic groups and related topics -- Quantum groups (quantized function algebras) and their representations
URLzbMATH
ISBN9781470473624
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Archiv METS (OAI-PMH)
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Zusammenfassung
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.