Quasi-Hopf Algebras: A Categorical Approach (Encyclopedia of Mathematics and its Applications, Series Number 171) - Hardcover

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

Hardcover

ISBN 10: 1108427014 ISBN 13: 9781108427012

Publisher: Cambridge University Press, 2019

Synopsis

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.

About this title

Book Description:

This self-contained book is the first to be dedicated entirely to Drinfeld's quasi-Hopf algebras, from the basics to the state of the art. It includes a detailed introduction to (braided) monoidal categories, the main tool used to study quasi-Hopf algebras. It is ideal for graduate students and researchers in mathematics and mathematical physics.

About the Author:

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.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2019
• ISBN 10: 1108427014
• ISBN 13: 9781108427012
• Binding: Hardcover
• Edition number: 1
• Number of pages: 544