Elements of the Representation Theory of Associative Algebras
Techniques of Representation Theory
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Elements of the Representation Theory of Associative Algebras by Ibrahim Assem
Book DescriptionThis 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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Book DetailsISBN: 9780521586313
(228mm x 152mm x 27mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Feb-2006
Country of Publication: United Kingdom
Books By Author Ibrahim Assem
Elements of the Representation Theory of Associative Algebras: Volume 2, Tubes and Concealed Algebras of Euclidean Type, Paperback (September 2007)
Volume two of this modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field
Elements of the Representation Theory of Associative Algebras, Hardback (February 2006)» View all books by Ibrahim Assem
Provides an elementary but up-to-date introduction to the representation theory of algebras.
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