Contents
Chapter 1. Introduction
Chapter 2. Actions of matched pairs
1. Cocycles and cohomology group
2. Cocycle conjugacy
3. Appendix Iterated perturbation
4. Appendix Normalization of cocycles
Chapter 3. Cocycles attached to the pentagon equation
1. Cocycles
2. Cohomology group
3. Appendix Normalization of cocycles
4. Appendix Multiplicative unitary
Chapter 4. Multiplicative unitary
1. Preliminaries
2. Orthonormal basis and multiplicative unitary
Chapter 5. Kac algebra structure
Chapter 6. Group-like elements
Chapter 7. Examples of finite-dimensional Kac algebras
1. (Zn x Zn) x Z2 with n 3
2. (Z2 x Z2) x Z2
3. (Zn x Zn) x Z2 with n 2
4. (Zn x Zn) x Z2 with n even
5. D
2 n
x Z2 with n odd
6. D
2 n
x Z2 with n even
Chapter 8. Inclusions with the Coxeter-Dynkin graph DQ
Paljutkin algebra
1. The group of one-dimensional sectors
2. Kac-Paljutkin algebra
Chapter 9. Structure theorems
1. Preliminaries
2. Main theorem
3. Proof
vii
Previous Page Next Page