Representation theory (2010/2011)

Course code
4S000551
Name of lecturers
Lidia Angeleri, Francesca Mantese
Coordinator
Lidia Angeleri
Number of ECTS credits allocated
6
Academic sector
MAT/02 - ALGEBRA
Language of instruction
Italian
Location
VERONA
Period
II semestre dal Mar 1, 2011 al Jun 15, 2011.

Lesson timetable

II semestre
Day Time Type Place Note
Tuesday 12:30 PM - 2:30 PM lesson Lecture Hall M  
Wednesday 11:30 AM - 1:30 PM 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.

Syllabus

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. The mark obtained in the written examination can be improved by the mark obtained for the homework and/or by an optional oral examination. Only students who have passed the written exam will be admitted to the oral examination.

Teaching aids

Documents