Geometrie (2.167 Artikel)

Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homologica...

Auslander-Reiten sequences and representation-finite algebras.- Highest weight modules for semisimple Lie algebras.- Report on the Brauer-Thrall conjectures: Rojter's theorem and the theorem of Naz...

Homological properties of wild hereditary artin algebras.- A combinatorial characterisation of finite Auslander-Reiten quivers.- On a theorem of nazarova and roiter.- Hochschild homology of an alge...

Uniserial functors.- Preprojective modules: An introduction and some applications.- Sections in Auslander-Reiten quivers.- Zykellose Algebren sind nicht zügellos.- Generalizations of the Bernstein-...

Modules for finite groups: Representation rings, quivers and varieties.- Blocks with cyclic defect groups for some sporadic groups.- Prime characters.- The dimension of the first cohomology group.-...

will be an ideal resource for researchers who work in the area, particularly those interested in exploring the impact of the Russian school.

will be an ideal resource for researchers who work in the area, particularly those interested in exploring the impact of the Russian school.

Lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 10-17, 2004

Part I of this book is a short review of the classical part of representation theory. The main chapters of representation theory are discussed: representations of finite and compact groups, finite-...

At first only elementary functions were studied in mathematical analysis. Then new functions were introduced to evaluate integrals. They were named special functions: integral sine, logarithms, the...

This monograph adopts an operational and functional analytic approach to the following problem: given a short exact sequence (group extension) 1 -> N -> G -> H -> 1 of finite groups, describe the i...

This monograph adopts an operational and functional analytic approach to the following problem: given a short exact sequence (group extension) 1 -> N -> G -> H -> 1 of finite groups, describe the i...

From April 1, 1984 until March 31, 1991 the Deutsche Forschungsgemeinschaft has sponsored the project "Representation Theory of Finite Groups and Finite Di mensional Algebras". The proposal for thi...

Representation Theory of Finite Groups: a Guidebook

Prior knowledge of semigroup theory is not expected for the diverse readership that may benefit from this exposition. The approach taken in this book is highly module-theoretic and follows the mode...