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Elements of the Representation Theory of Associative Algebras
Techniques of Representation Theory
Taschenbuch von Ibrahim Assem (u. a.)
Sprache: Englisch

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Beschreibung
This is the first of two volumes offering a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The topic is presented from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The treatment constitutes an elementary, up-to-date introduction to the subject using quiver-theoretical techniques as well as tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this ideal for courses and seminars, or for self-study.
This is the first of two volumes offering a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The topic is presented from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The treatment constitutes an elementary, up-to-date introduction to the subject using quiver-theoretical techniques as well as tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this ideal for courses and seminars, or for self-study.
Inhaltsverzeichnis
Introduction; 1. Algebras and modules; 2. Quivers and algebras; 3. Representations and modules; 4. Auslander-Reiten theory; 5. Nakayama algebras and representation-finite group algebras; 6. Tilting theory; 7. Representation-finite hereditary algebras; 8. Tilted algebras; 9. Directing modules and postprojective components; Appendix: categories, functors and homology.
Details
Erscheinungsjahr: 2009
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521586313
ISBN-10: 0521586313
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Assem, Ibrahim
Simson, Daniel
Skowronski, Andrzej
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 28 mm
Von/Mit: Ibrahim Assem (u. a.)
Erscheinungsdatum: 31.12.2009
Gewicht: 0,76 kg
Artikel-ID: 102426649
Inhaltsverzeichnis
Introduction; 1. Algebras and modules; 2. Quivers and algebras; 3. Representations and modules; 4. Auslander-Reiten theory; 5. Nakayama algebras and representation-finite group algebras; 6. Tilting theory; 7. Representation-finite hereditary algebras; 8. Tilted algebras; 9. Directing modules and postprojective components; Appendix: categories, functors and homology.
Details
Erscheinungsjahr: 2009
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521586313
ISBN-10: 0521586313
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Assem, Ibrahim
Simson, Daniel
Skowronski, Andrzej
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 28 mm
Von/Mit: Ibrahim Assem (u. a.)
Erscheinungsdatum: 31.12.2009
Gewicht: 0,76 kg
Artikel-ID: 102426649
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