Introduction to the Representation Theory of Algebras

• Main Author: Barot, Michael (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Category theory (Mathematics).; Homological algebra.; Algebra.; Associative Rings and Algebras.; Category Theory, Homological Algebra.; General Algebraic Systems.

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 and explains the three common setups: representation of quivers, modules over algebras and additive functors over certain c...

Table of Contents:

• Matrix Problems
• Representations of Quivers
• Algebras
• Module Categories
• Elements of Homological Algebra
• The Auslander-Reiten Theory
• Knitting
• Combinatorial Invariants
• Indecomposables and Dimensions.