Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 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
1 - Monoidal and Braided Categories
Published online by Cambridge University Press: 21 February 2019
- Frontmatter
- Dedication
- Contents
- Preface
- 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
Summary
We introduce the basic categorical language that will be used throughout this book. We define the concepts of monoidal and braided monoidal category and prove that any monoidal category is monoidally equivalent to a strict one.
- Type
- Chapter
- Information
- Quasi-Hopf AlgebrasA Categorical Approach, pp. 1 - 54Publisher: Cambridge University PressPrint publication year: 2019