1. Introduction 2. Actions of matched pairs 3. Cocycles attached to the pentagon equation 4. Multiplicative unitary 5. Kac algebra structure 6. Group-like elements 7. Examples of finite-dimensional Kac algebras 8. Inclusions with the Coxeter-Dynkin graph $D̂{(1)}_6$ and the Kac-Paljutkin algebra 9. Structure theorems 10. Classification of certain Kac algebras 11. Classification of Kac algebras of dimension 16 12. Group extensions of general Kac algebras 13. 2-cocycles of Kac algebras 14. Classification of Kac algebras of dimension 24
Summary
Introduction Actions of matched pairs Cocycles attached to the pentagon equation Multiplicative unitary Kac algebra structure Group-like elements Examples of finite-dimensional Kac algebras Inclusions with the Coxeter-Dynkin graph $D̂{(1)}_6$ and the Kac-Paljutkin algebra Structure theorems Classification of certain Kac algebras Classification of Kac algebras of dimension 16 Group extensions of general Kac algebras 2-cocycles of Kac algebras Classification of Kac algebras of dimension 24 Bibliography Index
