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New Examples of Frobenius Extensions
Lars Kadison, Göteborg University, Sweden
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University Lecture Series
1999; 84 pp; softcover
Volume: 14
ISBN-10: 0-8218-1962-3
ISBN-13: 978-0-8218-1962-3
List Price: US$25
Member Price: US$20
Order Code: ULECT/14
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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 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.

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 Yang-Baxter equation, and two-dimensional 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
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