|Tuesday||8:30 AM - 10:30 AM||lesson||Lecture Hall M|
|Tuesday||1:30 PM - 3:30 PM||lesson||Lecture Hall M||from Nov 8, 2016 to Nov 15, 2016|
|Thursday||8:30 AM - 10:30 AM||lesson||Lecture Hall M|
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.
|Joseph J. Rotman||An introduction to homological algebra||Academic Press|
|I. Assem, D. Simson, A. Skowronski||Elements of the representation theory of associative algebras||Cambridge University Press||2006|
|M.Auslander, I.Reiten, S.O. Smalø||Representation theory of artin algebras (Edizione 2)||Cambridge University Press||1997|
|F.W. Anderson, K.R. Fuller||Rings and categories of modules (Edizione 2)||Springer||1992|
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.