New Examples of Frobenius Extensions
1999
American Mathematical Society (Verlag)
978-0-8218-1962-3 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-1962-3 (ISBN)
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Presents an 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. This book discusses applications of Morita theory and Azumaya algebra due to Hirata and Sugano.
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.
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.
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.
| Erscheint lt. Verlag | 1.9.1999 |
|---|---|
| Reihe/Serie | University Lecture Series |
| Zusatzinfo | illustrations |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 180 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 0-8218-1962-3 / 0821819623 |
| ISBN-13 | 978-0-8218-1962-3 / 9780821819623 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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