Representation theory (2012/2013)

Course code
Lidia Angeleri
Academic sector
Language of instruction
Teaching is organised as follows:
Activity Credits Period Academic staff Timetable
Teoria 5 I semestre Lidia Angeleri, Francesca Mantese
Esercitazioni 1 I semestre Dirk Kussin

Lesson timetable

I semestre
Activity Day Time Type Place Note
Teoria Tuesday 11:30 AM - 1:30 PM lesson Lecture Hall M  
Teoria Thursday 9:30 AM - 11:30 AM lesson Lecture Hall M  

Learning outcomes

The course provides a first introduction to the representation theory of quivers, an important branch of modern algebra with connections to geometry, topology and theoretical physics.


Quivers, representations, the path algebra. Categories and functors, module categories. Filtrations: Theorems of Schreier and Jordan-Hoelder. Direct sum decomposition, theorem of Krull-Remak-Schmidt. Homological algebra: pushout, pullback, Ext, complexes, homology. Auslander-Reiten-theory. Algebras of finite and of tame representation type.

Assessment methods and criteria

The exam consists of a written examination and of an optional oral examination.

Teaching aids
Title Format (Language, Size, Publication date)
BIBLIOGRAPHY  pdfpdf (it, 70 KB, 28/09/12)
COURSE ORGANIZATION  pdfpdf (it, 52 KB, 28/09/12)
Esercizi - Foglio 1  pdfpdf (it, 88 KB, 25/10/12)
Esercizi - Foglio 2  pdfpdf (it, 96 KB, 09/11/12)
Esercizi - Foglio 3  pdfpdf (it, 99 KB, 18/11/12)
Esercizi - Foglio 4  pdfpdf (it, 103 KB, 13/12/12)
Esercizi - Foglio 5  pdfpdf (it, 59 KB, 17/01/13)
note corso  pdfpdf (it, 243 KB, 09/11/12)
note corso - parte 2  pdfpdf (it, 531 KB, 23/01/13)
vecchi esami  pdfpdf (it, 84 KB, 10/01/13)
vecchi esami - soluzioni 1  pdfpdf (it, 1546 KB, 10/01/13)
vecchi esami - soluzioni 2  pdfpdf (it, 824 KB, 10/01/13)