Hardcover ISBN: | 978-3-03719-174-3 |
Product Code: | EMSTEXT/19 |
List Price: | $78.00 |
AMS Member Price: | $62.40 |
Hardcover ISBN: | 978-3-03719-174-3 |
Product Code: | EMSTEXT/19 |
List Price: | $78.00 |
AMS Member Price: | $62.40 |
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Book DetailsEMS Textbooks in MathematicsVolume: 19; 2017; 629 ppMSC: Primary 16; 13; 15
This is the second of three volumes which will provide a comprehensive introduction to the modern representation theory of Frobenius algebras. The first part of the book is devoted to fundamental results of the representation theory of finite dimensional hereditary algebras and their tilted algebras, which allow the authors to describe the representation theory of prominent classes of Frobenius algebras.
The second part is devoted to basic classical and recent results concerning the Hochschild extensions of finite dimensional algebras by duality bimodules and their module categories. Moreover, the shapes of connected components of the stable Auslander-Reiten quivers of Frobenius algebras are described.
The only prerequisite for this volume is a basic knowledge of linear algebra and some results of the first volume. It includes complete proofs of all results presented and provides a rich supply of examples and exercises.
A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
ReadershipGraduate students and research mathematicians interested in the representation theory of algebras.
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Additional Material
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Reviews
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The book under review is very well written and will be especially useful for graduate students and non-experts because of the detailed exposition, the wealth of examples and exercises, as well as the carefully chosen mixture of basic and more advanced results.
Jörg Feldvoss, Mathematical Reviews
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This is the second of three volumes which will provide a comprehensive introduction to the modern representation theory of Frobenius algebras. The first part of the book is devoted to fundamental results of the representation theory of finite dimensional hereditary algebras and their tilted algebras, which allow the authors to describe the representation theory of prominent classes of Frobenius algebras.
The second part is devoted to basic classical and recent results concerning the Hochschild extensions of finite dimensional algebras by duality bimodules and their module categories. Moreover, the shapes of connected components of the stable Auslander-Reiten quivers of Frobenius algebras are described.
The only prerequisite for this volume is a basic knowledge of linear algebra and some results of the first volume. It includes complete proofs of all results presented and provides a rich supply of examples and exercises.
A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
Graduate students and research mathematicians interested in the representation theory of algebras.
-
The book under review is very well written and will be especially useful for graduate students and non-experts because of the detailed exposition, the wealth of examples and exercises, as well as the carefully chosen mixture of basic and more advanced results.
Jörg Feldvoss, Mathematical Reviews