| eBook ISBN: | 978-1-4704-2163-2 |
| Product Code: | ULECT/14.E |
| List Price: | $65.00 |
| MAA Member Price: | $58.50 |
| AMS Member Price: | $52.00 |
| eBook ISBN: | 978-1-4704-2163-2 |
| Product Code: | ULECT/14.E |
| List Price: | $65.00 |
| MAA Member Price: | $58.50 |
| AMS Member Price: | $52.00 |
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Book DetailsUniversity Lecture SeriesVolume: 14; 1999; 84 ppMSC: Primary 16; Secondary 46; 57; 81
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.
ReadershipGraduate students and research mathematicians working in algebra and topology.
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Table of Contents
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Chapters
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Chapter 1. Introduction to Frobenius extensions
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Chapter 2. The endomorphism ring theorem
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Chapter 3. The Jones polynomial
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Chapter 4. Frobenius algebras
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Chapter 5. Azumaya algebras
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Chapter 6. Hopf algebras over commutative rings
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Chapter 7. Hopf subalgebras
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Appendix A. Historical notes
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Additional Material
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Reviews
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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
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- Book Details
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- Reviews
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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.
Graduate students and research mathematicians working in algebra and topology.
-
Chapters
-
Chapter 1. Introduction to Frobenius extensions
-
Chapter 2. The endomorphism ring theorem
-
Chapter 3. The Jones polynomial
-
Chapter 4. Frobenius algebras
-
Chapter 5. Azumaya algebras
-
Chapter 6. Hopf algebras over commutative rings
-
Chapter 7. Hopf subalgebras
-
Appendix A. Historical notes
-
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
