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  3. Elements of the Representation Theory of Associative Algebras
  • Cited by 691
      • Volume 1
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    • Publisher:
      Cambridge University Press
      Publication date:
      January 2010
      February 2006
      ISBN:
      9780511614309
      9780521584234
      9780521586313
      DOI:
      https://doi.org/10.1017/CBO9780511614309
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.73kg, 472 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.63kg, 472 Pages
      • Subjects:
      Mathematics (general), Mathematics, Algebra
      Series:
      London Mathematical Society Student Texts (65)
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    Subjects:
    Mathematics (general), Mathematics, Algebra
    Series:
    London Mathematical Society Student Texts (65)
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    Book description

    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.

    Reviews

    ' ... a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. ... presented from the perspective of linear representations of quivers and homo logical algebra. The treatment is self contained and provides an elementary and up-to-date introduction to the subject using quiver-theoretical techniques and the theory of almost split sequences ...'

    Source: L'enseignement mathematique

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