Quasi-Hopf Algebras: A Categorical Approach: Encyclopedia of Mathematics and its Applications, cartea 171
Autor Daniel Bulacu, Stefaan Caenepeel, Florin Panaite, Freddy Van Oystaeyenen Limba Engleză Hardback – 20 feb 2019
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Specificații
ISBN-13: 9781108427012
ISBN-10: 1108427014
Pagini: 544
Dimensiuni: 160 x 240 x 32 mm
Greutate: 0.91 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Encyclopedia of Mathematics and its Applications
Locul publicării:Cambridge, United Kingdom
ISBN-10: 1108427014
Pagini: 544
Dimensiuni: 160 x 240 x 32 mm
Greutate: 0.91 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Encyclopedia of Mathematics and its Applications
Locul publicării:Cambridge, United Kingdom
Cuprins
1. Monoidal and braided categories; 2. Algebras and coalgebras in monoidal categories; 3. Quasi-bialgebras and quasi-Hopf algebras; 4. Module (co)algebras and (bi)comodule algebras; 5. Crossed products; 6. Quasi-Hopf bimodule categories; 7. Finite-dimensional quasi-Hopf algebras; 8. Yetter–Drinfeld module categories; 9. Two-sided two-cosided Hopf modules; 10. Quasitriangular quasi-Hopf algebras; 11. Factorizable quasi-Hopf algebras; 12. The quantum dimension and involutory quasi-Hopf algebras; 13. Ribbon quasi-Hopf algebras; Bibliography; Index.
Recenzii
'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
'The aim of this book is the development of the theory of quasi-Hopf algebras, mainly with algebraic means, and widely using the language of monoidal categories. It is, as far as possible, self-contained.' Loïc Foissy, zbMATH
'… the book is an excellent reference both as an introduction to the subject and as a source for research in fields related to tensor categories.' Sonia Natale, MathSciNet
'The aim of this book is the development of the theory of quasi-Hopf algebras, mainly with algebraic means, and widely using the language of monoidal categories. It is, as far as possible, self-contained.' Loïc Foissy, zbMATH
'… the book is an excellent reference both as an introduction to the subject and as a source for research in fields related to tensor categories.' Sonia Natale, MathSciNet
Notă biografică
Descriere
This self-contained book dedicated to Drinfeld's quasi-Hopf algebras takes the reader from the basics to the state of the art.