By Ibrahim Assem, Andrzej Skowronski, Daniel Simson
This primary a part of a two-volume set bargains a contemporary account of the illustration concept of finite dimensional associative algebras over an algebraically closed box. The authors current this subject from the viewpoint of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained therapy constitutes an effortless, up to date advent to the topic utilizing, at the one hand, quiver-theoretical concepts and, at the different, tilting idea and necessary quadratic varieties. Key good points comprise many illustrative examples, plus a great number of end-of-chapter workouts. The specific proofs make this paintings compatible either for classes and seminars, and for self-study. the amount may be of serious curiosity to graduate scholars starting examine within the illustration idea of algebras and to mathematicians from different fields.
Read Online or Download Elements of the Representation Theory of Associative Algebras: Volume 1: Techniques of Representation Theory (London Mathematical Society Student Texts) PDF
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