New Examples of Frobenius Extensions

This volume is based on the author's lecture courses to algebraists at Munich and at Goeteborg. He presents, for the first time in book form, a unified approach from the point of view of Frobenius algebras/extensions to diverse topics, such as Jones' subfactor theory, Hopf algebras and Hopf subalgebras, the Yang-Baxter Equation and 2-dimensional topological quantum field theories. Other Features: Initial steps toward a theory of noncommutative ring extensions. Self-contained sections on Azumaya algebras and strongly separable algebras. Applications and generalizations of Morita theory and Azumaya algebra due to Hirata and Sugano. Understanding the text requires no prior background in Frobenius algebras or Hopf algebras. An index and a thorough list of further references are included. There is an appendix giving a brief historical guide to the literature.