Elements of the Representation Theory of Associative Algebras: Volume 1: Techniques of Representation Theory

di Ibrahim Assem (Autore)

Andrzej Skowronski (Autore)

Daniel Simson (Autore)

Cambridge University Press, 2006

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.

• Autore: Ibrahim Assem, Andrzej Skowronski, Daniel Simson
• Editore: Cambridge University Press
• Collana: London Mathematical Society Student Texts
• Anno: 2006
• Rilegatura: Hardback
• Pagine: 472 p.
• Dimensioni: 235 x 159 mm
• Peso: 730 gr.
• EAN: 9780521584234

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