Euroconference: Infinite Length Modules
Bielefeld/Germany, September 7 - 11, 1998
The topic:
The investigation of modules of infinite length will always rely on
information concerning modules of finite length, for example simple
modules. But the converse is also true:
The representation theory of finite dimensional algebras usually
deals with finite dimensional modules. However, it seems that a full
understanding of the category of all finite dimensional A-modules,
where A is some fixed algebra, is only possible by considering also
infinite dimensional modules, at least if A is not
representation-finite. Already the notion of tameness uses
one-parameter families of modules, thus generic modules - and they
are infinite dimensional. If one tries to
exhibit a presentation of the module category, the
Auslander-Reiten quiver itself will not be sufficient, but has to be
completed by using suitable infinite-dimensionale modules. The knowledge
of the algebraically compact (= pure injective) modules seems to be
essential for determining the structure of a module category.
There will be series of lectures on recent developments which are of
fundamental importance and additional one hour lectures by some leading
experts.
28.6.1996 Last modified: 28.6.1996
The four Euroconferences
organized by the Network
"Invariants and Representations of Algebras".