Buch, Englisch, Band 65, 472 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 911 g
Techniques of Representation Theory
Buch, Englisch, Band 65, 472 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 911 g
Reihe: London Mathematical Society Student Texts
ISBN: 978-0-521-58423-4
Verlag: Cambridge University Press
This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained treatment constitutes an elementary, up-to-date introduction to the subject using, on the one hand, quiver-theoretical techniques and, on the other, 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 work suitable both for courses and seminars, and for self-study. The volume will be of great interest to graduate students beginning research in the representation theory of algebras and to mathematicians from other fields.
Autoren/Hrsg.
Weitere Infos & Material
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.
