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Frobenius Algebras II: Tilted and Hochschild Extension Algebras
 
Andrzej Skowroński Nicolaus Copernicus University, Toruń, Poland
Kunio Yamagata Tokyo University of Agriculture and Technology, Japan
A publication of European Mathematical Society
Frobenius Algebras II
Hardcover ISBN:  978-3-03719-174-3
Product Code:  EMSTEXT/19
List Price: $78.00
AMS Member Price: $62.40
Please note AMS points can not be used for this product
Frobenius Algebras II
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Frobenius Algebras II: Tilted and Hochschild Extension Algebras
Andrzej Skowroński Nicolaus Copernicus University, Toruń, Poland
Kunio Yamagata Tokyo University of Agriculture and Technology, Japan
A publication of European Mathematical Society
Hardcover ISBN:  978-3-03719-174-3
Product Code:  EMSTEXT/19
List Price: $78.00
AMS Member Price: $62.40
Please note AMS points can not be used for this product
  • Book Details
     
     
    EMS Textbooks in Mathematics
    Volume: 192017; 629 pp
    MSC: 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.

    Readership

    Graduate students and research mathematicians interested in the representation theory of algebras.

  • Additional Material
     
     
  • Reviews
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 192017; 629 pp
MSC: 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.

Readership

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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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