Algebra - Representation Theory
Proceedings of the NATO Advanced Study Institute on Algebra - Representation Theory, Constanta, Romania, 2-12 August 2000
Published on 31. August 2001
Book
Hardback
XIII, 460 pages
978-0-7923-7113-7 (ISBN)
Description
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:
- Lie algebras, quantum groups, Hopf algebras and algebraic groups;
- non-commutative algebraic geometry;
- representation theory of finite groups and cohomology;
- the structure of special classes of rings.
More details
Series
Edition
2001 ed.
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
XIII, 460 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 32 mm
Weight
881 gr
ISBN-13
978-0-7923-7113-7 (9780792371137)
DOI
10.1007/978-94-010-0814-3
Schweitzer Classification
Other editions
Additional editions
Klaus W. Roggenkamp | Mirela Stefanescu
Algebra - Representation Theory
Proceedings of the NATO Advanced Study Institute on Algebra - Representation Theory, Constanta, Romania, 2-12 August 2000
Book
08/2001
Kluwer Academic Publishers
€160.49
Shipment within 15-20 days
Content
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.