Elements of the representation theory of associative algebras: Volume 1 Techniques of representation theory
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 al...
Gespeichert in:
| Beteilige Person: | |
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| Weitere beteiligte Personen: | , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2006
|
| Schriftenreihe: | London Mathematical Society student texts
65 |
| Links: | https://doi.org/10.1017/CBO9780511614309 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (ix, 458 Seiten) |
| ISBN: | 9780511614309 |
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| 520 | |a 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. | ||
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| spelling | Assem, Ibrahim Elements of the representation theory of associative algebras Volume 1 Techniques of representation theory Ibrahim Assem, Daniel Simson, Andrzej Skowronski Cambridge Cambridge University Press 2006 1 Online-Ressource (ix, 458 Seiten) txt c cr London Mathematical Society student texts 65 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. Simson, Daniel Skowroński, Andrzej Erscheint auch als Druck-Ausgabe 9780521584234 Erscheint auch als Druck-Ausgabe 9780521586313 |
| spellingShingle | Assem, Ibrahim Elements of the representation theory of associative algebras |
| title | Elements of the representation theory of associative algebras |
| title_auth | Elements of the representation theory of associative algebras |
| title_exact_search | Elements of the representation theory of associative algebras |
| title_full | Elements of the representation theory of associative algebras Volume 1 Techniques of representation theory Ibrahim Assem, Daniel Simson, Andrzej Skowronski |
| title_fullStr | Elements of the representation theory of associative algebras Volume 1 Techniques of representation theory Ibrahim Assem, Daniel Simson, Andrzej Skowronski |
| title_full_unstemmed | Elements of the representation theory of associative algebras Volume 1 Techniques of representation theory Ibrahim Assem, Daniel Simson, Andrzej Skowronski |
| title_short | Elements of the representation theory of associative algebras |
| title_sort | elements of the representation theory of associative algebras techniques of representation theory |
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