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Algebra - Representation Theory

Algebra - Representation Theory

Paperback

Series: NATO Science Series II: Mathematics, Physics and Chemistry, Book 28

Medical ReferenceAlgebraGeneral Mathematics

ISBN10: 0792371143
ISBN13: 9780792371144
Publisher: Springer Nature
Published: Aug 31 2001
Pages: 460
Weight: 1.46
Height: 0.96 Width: 6.14 Depth: 9.21
Language: English
Over the last three decades representation theory of groups, Lie algebras and associative algebras has undergone a rapid development through the powerful tool of almost split sequences and the Auslander-Reiten quiver. Further insight into the homology of finite groups has illuminated their representation theory. The study of Hopf algebras and non-commutative geometry is another new branch of representation theory which pushes the classical theory further. All this can only be seen in connection with an understanding of the structure of special classes of rings. The aim of this book is to introduce the reader to some modern developments in:
  1. Lie algebras, quantum groups, Hopf algebras and algebraic groups;
  2. non-commutative algebraic geometry;
  3. representation theory of finite groups and cohomology;
  4. the structure of special classes of rings.

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