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Introduction to the Representation Theory of Algebras by Michael Barot - Paperback
760.00 EGP

Introduction to the Representation Theory of Algebras by Michael Barot - Paperback

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Category Type
Mathematics
ISBN
9783319114743
Author
Michael Barot
Publisher
Springer
Description:

This book gives a general introduction to the theory of representations of algebras. It starts with examples of classification problems of matrices under linear transformations, explaining the three common setups: representation of quivers, modules over algebras and additive functors over certain categories. The main part is devoted to (i) module categories, presenting the unicity of the ...

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PRODUCT INFORMATION

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783319114743
    Languages
    English
    Item EAN
    2724436107437
    People
    Author
    Michael Barot
    Category Type
    Mathematics
    ISBN
    9783319114743
    Languages
    English
    Item EAN
    2724436107437
    People
    Author
    Michael Barot
    People
    Publisher
    Springer
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    This book gives a general introduction to the theory of representations of algebras. It starts with examples of classification problems of matrices under linear transformations, explaining the three common setups: representation of quivers, modules over algebras and additive functors over certain

    This book gives a general introduction to the theory of representations of algebras. It starts with examples of classification problems of matrices under linear transformations, explaining the three common setups: representation of quivers, modules over algebras and additive functors over certain categories. The main part is devoted to (i) module categories, presenting the unicity of the decomposition into indecomposable modules, the Auslander Reiten theory and the technique of knitting; (ii) the use of combinatorial tools such as dimension vectors and integral quadratic forms; and (iii) deeper theorems such as Gabriel s Theorem, the trichotomy and the Theorem of Kac all accompanied by further examples.
    Each section includes exercises to facilitate understanding. By keeping the proofs as basic and comprehensible as possible and introducing the three languages at the beginning, this book is suitable for readers from the advanced undergraduate level onwards and enables them to consult related, specific research articles.

    Product Features:
    • Category: Mathematics
    • Binding: Paperback
    • Language of Text: English
    • Author(s): Michael Barot
    • Publisher: Springer
    • ISBN: 9783319114743
    • Number of Pages: 179
    • Dimensions: 9.21 x 6.14 x 0.41 inches
 

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