**University Lecture Series**

Volume: 14;
1999;
84 pp;
Softcover

MSC: Primary 16;
Secondary 46; 57; 81

**Print ISBN: 978-0-8218-1962-3
Product Code: ULECT/14**

List Price: $29.00

AMS Member Price: $23.20

MAA Member Price: $26.10

**Electronic ISBN: 978-1-4704-2163-2
Product Code: ULECT/14.E**

List Price: $27.00

AMS Member Price: $21.60

MAA Member Price: $24.30

#### Supplemental Materials

# New Examples of Frobenius Extensions

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*Lars Kadison*

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 & Endorsements

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

# Table of Contents

## New Examples of Frobenius Extensions

- Cover Cover11 free
- Title v6 free
- Copyright vi7 free
- Contents vii8 free
- Preface ix10 free
- Chapter 1. Introduction to Frobenius Extensions 112 free
- Chapter 2. The Endomorphism Ring Theorem 920
- Chapter 3. The Jones Polynomial 2132
- Chapter 4. Frobenius Algebras 3344
- Chapter 5. Azumaya Algebras 4354
- Chapter 6. Hopf Algebras over Commutative Rings 5364
- Chapter 7. Hopf Subalgebras 6374
- Appendix A. Historical Notes 7586
- Bibliography 7990
- Index 8394
- Back Cover Back Cover198