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Daniel Bulacu, Stefaan Caenepeel, Florin Panaite, Freddy Van Oystaeyen - Quasi-Hopf Algebras, Inbunden

Inbunden, Engelska, 2019

Quasi-Hopf Algebras

A Categorical Approach

Av Daniel Bulacu, Stefaan Caenepeel, Florin Panaite, Freddy Van Oystaeyen

Del 171 i serien Encyclopedia of Mathematics and its Applications

2410 kr

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Beskrivning
This is the first book to be dedicated entirely to Drinfeld's quasi-Hopf algebras. Ideal for graduate students and researchers in mathematics and mathematical physics, this treatment is largely self-contained, taking the reader from the basics, with complete proofs, to much more advanced topics, with almost complete proofs. Many of the proofs are based on general categorical results; the same approach can then be used in the study of other Hopf-type algebras, for example Turaev or Zunino Hopf algebras, Hom-Hopf algebras, Hopfish algebras, and in general any algebra for which the category of representations is monoidal. Newcomers to the subject will appreciate the detailed introduction to (braided) monoidal categories, (co)algebras and the other tools they will need in this area. More advanced readers will benefit from having recent research gathered in one place, with open questions to inspire their own research.
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Mer om författaren

Daniel Bulacu is Professor in the Faculty of Mathematics and Computer Science at the Universitatea din Bucureşti, Romania. His research interests include Graded Rings and Modules, Hopf algebras and generalizations, (braided) monoidal categories, braid groups, Clifford algebras, Cayley-Dickson algebras, (co)Frobenius (co)algebras, (co)wreaths and derived (co)wreath (co)algebra structures, and Hopf Galois theory. He received the 2009 'Dimitrie Pompeiu' prize from the Romanian Academy. Stefaan Caenepeel is Professor in the Faculty of Engineering at the Vrije Universiteit Brussel (VUB). His research interests include graded rings and modules, Hopf algebras and their generalizations, Brauer groups, monoidal categories and categorical algebra. He was president of the Belgian Mathematical Society (2008-2011) and is currently dean of the Faculty of Engineering at the VUB (2016-2020). Florin Panaite is Scientific Researcher at the Institute of Mathematics of the Institute of Mathematics of the Romanian Academy. His research interests include Hopf algebras and generalizations (quasi-Hopf algebras, bialgebroids), (braided) monoidal categories, braid groups, Clifford algebras, Cayley-Dickson algebras, twisted tensor products of algebras, Brzezinski crossed products, twistings of algebras and Rota-Baxter type operators, and Hom-structures. He received the 1999 'Gheorghe Lazar' prize from the Romanian Academy. Freddy Van Oystaeyen is Honorary Professor at Beijing Normal University and Doctor Honoris Causa at University de Almeria. He has (co)authored over 300 papers and twenty-five books, and is the editor of over twenty proceedings of international congresses. He has organized more than sixty international meetings and made research evaluations for the Belgian Science Foundation (FWO), also in the Netherlands and Romania. He was member of the AAC for the European ERASMUS program.

Recensioner i media

'This book serves as a thorough reference source for topics related to the algebraic structure of quasi-Hopf algebras, their representations, and many key examples. By using the language of category theory throughout, this book presents its material very abstractly but in a way that allows results from the study of Hopf algebras to generalize to quasi-Hopf algebras.' Kevin Gerstle, MAA Reviews

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