Algebra - Representation Theory

ISBN 10: 0792371135 / ISBN 13: 9780792371137

Editore: Springer Netherlands, 2001

Former library copy. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Codice articolo 57914832-6

Riassunto:

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: i. Lie algebras, quantum groups, Hopf algebras and algebraic groups; ii. non-commutative algebraic geometry; iii. representation theory of finite groups and cohomology; iv. the structure of special classes of rings.

Contenuti: Preface; K.W. Roggenkamp, M. Stefanescu. Tilting modules for algebraic and quantum groups; H.H. Anderson. Connections between group representations and cohomology; J.F. Carlson. Invariant theory of algebra representations; M. Domokos. Representation Theory of Orders; O. Iyama. On some problems in PI-theory in characteristic p; A. Kemer. Blocks of category O, double centralizer properties, and Enright's completions; S. Koenig. The Gelfand-Kirillov dimensions of Algebras arising from Representation Theory; Z. Lin. The normalizer of a finite group in its integral group ring and Cech cohomology; Z.S. Marciniak, K.W. Roggenkamp. Representation Theory of Semisimple Hopf Algebras; S. Montgomery. Semigroup cohomology and applications; B.V. Novikov. In Search For Noetherian Algebras; J. Okninski. Cohen-Macaulay representation; D. Popescu. Hereditary abelian categories and almost split sequences; I. Reiten. The abelian defect group conjecture: some recent progress; J. Rickard. 2-dimensional Orders and integral Hecke orders; K.W. Roggenkamp. Invertible ideals and non-commutative generalizations of regular rings; W. Rump. Langlands' philosophy and Koszul duality; W. Soergel. Noncommutative projective geometry; J.T. Stafford. Braid groups as self-equivalences of derived categories; A. Zimmermann. Modules with good filtration and invariant theory; A.N. Zubkov.

Dati bibliografici

Titolo: Algebra - Representation Theory
Casa editrice: Springer Netherlands
Data di pubblicazione: 2001
Legatura: Rilegato
Condizione: Very Good