Quasi-Hopf Algebras: A Categorical Approach

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.

Author: Daniel Bulacu, Stefaan Caenepeel, Florin Panaite
Publisher: Cambridge University Press
Published: 04/18/2019
Pages: 544
Binding Type: Hardcover
Weight: 2.00lbs
Size: 9.40h x 8.50w x 1.30d
ISBN: 9781108427012

About the Author
Bulacu, Daniel: - Daniel Bulacu is Professor in the Faculty of Mathematics and Computer Science at 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.Caenepeel, Stefaan: - 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 VUB (2016-2020).Panaite, Florin: - Florin Panaite is Scientific Researcher at 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.
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