New Examples of Frobenius Extensions

This volume is based on the author's lecture courses to algebraists at Munich and at Goteborg. 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 non commutative 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; and, 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.