University Lecture Series 1999; 84 pp; softcover Volume: 14 ISBN10: 0821819623 ISBN13: 9780821819623 List Price: US$25 Member Price: US$20 Order Code: ULECT/14
 This volume is based on the author's lecture courses to algebraists at Munich and at Göteborg. 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 YangBaxter Equation and 2dimensional topological quantum field theories. Other Features:  Initial steps toward a theory of noncommutative ring extensions.
 Selfcontained 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. Readership Graduate students and research mathematicians working in algebra and topology. Reviews "Presents a unified approach from the point of view of Frobenius algebras' extensions, to diverse topics such as Jones' subfactor theory, Hopf algebras and subalgebras, the YangBaxter equation, and twodimensional topological quantum field theories."  SciTech Book News Table of Contents  Introduction to Frobenius extensions
 The endomorphism ring theorem
 The Jones polynomial
 Frobenius algebras
 Azumaya algebras
 Hopf algebras over commutative rings
 Hopf subalgebras
 Historical notes
 Bibliography
 Index
