discipline 
Pure
Mathematics

subject 
Representation theory of algebras
1.

lecturers 
István Ágoston 
credits 
2 
period 

curriculum 
Representation theory of hereditary algebras.
Path algebras and their representations. The structure of path algebras over
quivers. The Euler and the Tits form. Graphs and quadratic forms. Dynkin and extended Dynkin
diagrams. Elements of geometric representation theory: representation space,
algebraic groups, the orbits of representation space. The case of finite
representation type: representations of Dynkin
diagrams. The case of extended Dynkin diagrams. The
Auslander–Reiten
translate. Coxeter transformations. The defect of
modules. Preprojective and preinjective
modules. Regular modules. Examples: the representations of the Kronecker algebra. 
literature 
CrawleyBoevey: Lectures on representations of quivers 
form of tuition 
Lecture 
mode of assessment 
written/oral
exam 