Algebras and Representation Theory

• Main Authors: Erdmann, Karin (Author, http://id.loc.gov/vocabulary/relators/aut), Holm, Thorsten (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer Undergraduate Mathematics Series,
• Subjects: Associative rings.; Rings (Algebra).; Commutative algebra.; Commutative rings.; Group theory.; Category theory (Mathematics).; Homological algebra.; Associative Rings and Algebras.; Commutative Rings and Algebras.; Group Theory and Generalizations.; Category Theory, Homological Algebra.

This carefully written textbook provides an accessible introduction to the representation theory of algebras, including representations of quivers. The book starts with basic topics on algebras and modules, covering fundamental results such as the Jordan-Hölder theorem on composition series, the Ar...