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vls/2603nrwcece.visuallibrary.netvdQuantum groups, Hopf algebras, and applicationsin 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, UtahAMS Special Session Quantum Groups, Hopf Algebras, and Applications 2022 Salt Lake City, UtahautMontgomery, Susan1943-HerausgeberedtNg, Siu-HungHerausgeberedtTaft, Earl J.1931-Gefeierterhnrtextconference publicationTextKonferenzschriftxxuXD-USProvidence, Rhode IslandAmerican Mathematical Society[2025]© 20252025monographicengprintviii, 264 Seitenohne Hilfsmittel zu benutzenBandThis 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.Susan Montgomery, Siu-Hung Ng, editorsIncludes bibliographical referencesHopf algebrasCongressesQuantum groupsCongressesAlgebraic geometry -- Algebraic groups -- Group schemesAssociative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applicationsAssociative rings and algebras -- Hopf algebras, quantum groups and related topics -- Ring-theoretic aspects of quantum groupsAssociative rings and algebras -- Hopf algebras, quantum groups and related topics -- None of the above, but in this sectionNonassociative rings and algebras -- General nonassociative rings -- SuperalgebrasNonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Quantum groups (quantized enveloping algebras) and related deformationsNonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Lie bialgebras; Lie coalgebrasGroup theory and generalizations -- Linear algebraic groups and related topics -- Quantum groups (quantized function algebras) and their representations512/.5514L15 16T05 16T20 16T99 17A70 17B37 17B62 20G4233.0631.2397814704736242024035051151838957499376906652906441HT031466048Online-Ausgabe9781470478650Contemporary mathematics814(DE-605)HT001236816https://zbmath.org/1559.1400349HBZ_PADrda26050720260507210714.02606248ger https://ce.visuallibrary.net//domainresource/static/graphics/connectors/viewerLogo.gif http://193.30.112.129:83/F/?func=find-c&ccl_term=ICS%3D2606248 https://ce.visuallibrary.net/id/1393283 https://ce.visuallibrary.net/i3f/v20/1393283/manifest https://ce.visuallibrary.net/proto_ftsearch/1393283