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 AuslanderReiten translate. Coxeter transformations. The defect of modules. Preprojective and preinjective modules. Regular modules. Examples: the representations of the Kronecker algebra.

literature

Crawley-Boevey: Lectures on representations of quivers

form of tuition

Lecture

mode of assessment

written/oral exam