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Algebra - Representation Theory: NATO Science Series II: Mathematics, Physics and Chemistry, cartea 28

Editat de Klaus W. Roggenkamp, Mirela Stefanescu
en Limba Engleză Hardback – 31 aug 2001
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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Specificații

ISBN-13: 9780792371137
ISBN-10: 0792371135
Pagini: 460
Ilustrații: XIII, 460 p.
Dimensiuni: 155 x 235 x 27 mm
Greutate: 0.84 kg
Ediția:2001
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria NATO Science Series II: Mathematics, Physics and Chemistry

Locul publicării:Dordrecht, Netherlands

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Research

Cuprins

Tilting modules for algebraic and quantum groups.- Connections between group representations and cohomology.- Invariant theory of algebra representations.- Representation Theory of Orders.- On some problems in Pi-theory in characteristic p.- Blocks of category O, double centralizer properties, and Enright’s completions.- The Gelfand-Kirillov dimensions of Algebras arising from Representation Theory.- The normalizer of a finite group in its integral group ring and ?ech cohomology.- Representation Theory of Semisimple Hopf Algebras.- Semigroup cohomology and applications.- In Search For Noetherian Algebras.- Cohen-Macaulay representation.- Hereditary abelian categories and almost split sequences.- The abelian defect group conjecture: some recent progress.- 2-dimensional Orders and integral Hecke orders.- Invertible ideals and non-commutative generalizations of regular rings.- Langlands’philosophy and Koszul duality.- Noncommutative projective geometry.- Braid groups as self-equivalencesof derived categories.- Modules with good filtration and invariant theory.