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240304 ||| eng |
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|a 9780511614309
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4 |
|a QA251.5
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|a Assem, Ibrahim
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|a Elements of the representation theory of associative algebras, Volume 1: Techniques of representation theory
|c Ibrahim Assem, Daniel Simson, Andrzej Skowronski
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| 260 |
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|a Cambridge
|b Cambridge University Press
|c 2006
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| 300 |
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|a ix, 458 pages
|b digital
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| 653 |
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|a Associative algebras
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| 653 |
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|a Representations of algebras
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| 700 |
1 |
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|a Simson, Daniel
|e [author]
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| 700 |
1 |
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|a Skowroński, Andrzej
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b CBO
|a Cambridge Books Online
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| 490 |
0 |
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|a London Mathematical Society student texts
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| 028 |
5 |
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|a 10.1017/CBO9780511614309
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| 856 |
4 |
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|u https://doi.org/10.1017/CBO9780511614309
|x Verlag
|3 Volltext
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| 082 |
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|a 512.46
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| 520 |
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|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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