One of the main references will be the article by U. Fischbacher

- Zur Kombinatorik der Algebren mit endlich vielen Idealen (J. Reine Angew. Math. 370 (1986), 192-213)

- C. Geiß/Diplomarbeit: Darstellungsendliche Algebren und
multiplikative Basen

(D. Vossieck has made some**copies**of the relevant part**of the thesis**which are available at**V5-222**.)

D. Vossieck has outlined a plan for the reading course, anyone is
invited to take part and to give one of these lectures.
The **plan** can be
**downloaded** here.

In addition, he will provide information concerning parallel developments, in particular also on deviating use of terminology.

Note that we have shifted the final lectures of his survey on the use and
the importance of ray categories, which he wanted to give at the end of
the summer term. They will be presented as an addition to this reading
course.

- R. Bautista: On algebras of strongly unbounded representation type, Comment. Math. Helv. 60 (1985), 392-399
- R. Bautista, P. Gabriel, A.V. Roiter, L. Salmerón: Representation-finite algebras and multiplicative bases, Invent. Math. 81 (1985), 217-285
- K. Bongartz: A criterion for finite representation type, Math. Ann. 269 (1984), 1-12
- K. Bongartz: Critical simply connected algebras, Manuscr. Math. 46 (1984), 117-136
- K. Bongartz: Indecomposables are standard, Comment. Math. Helv. 60 (1985), 400-410
- O. Bretscher, P. Gabriel: The standard form of a representation finite algebra, Bull. Soc. Math. France 111 (1983), 21-40
- O. Bretscher, G. Todorov: On a theorem of Nazarova and Roiter, Proc. ICRA IV, Lecture Notes 1177 (1986), 50-54
- P. Gabriel, A.V. Roiter: Representations of
finite-dimensional algebras, Vol. 73 of the encyclopaedia of Math.
Sciences (1992), 1-177
- K.Bongartz: Indecomposables live in all smaller lengths (arXiv)

We will start with the reading course which will take place
during the first three days of the week. **All talks** will be held in
**V3-204**.

**Monday, 7 September**: in the afternoon, starting at 13:15- Invariance of the fundamental group under reduction – D. Vossieck
- Tackles – A. Beineke

**Tuesday, 8 September**: in the afternoon, starting at 13:15- Reduction lemma – N. Mahrt
- Reducing filtrations, freeness of the fundamental group – D. Vossieck
- Roiter's vanishing theorem – A. Holtmann

**Wednesday, 9 September**: in the afternoon, starting at 13:15- Interval-finiteness: preparation – D. Kussin
- Interval-finiteness: conclusion – G. Bobiński

**Friday, 11 September**: in the afternoon, starting at 13:15, V3-204- Ray categories IV

Last modified: Fri Aug 28 13:22:10 CEST 2009