19211411
Seminar
WiSe 14/15: Seminar on Representation Theory of Associative Algebras
Alejandra Rincón Hidalgo
Hinweise für Studierende
Prerequisites: Good knowledge of linear algebra. Basic knowledge of module theory is an advantage.
Kommentar
The aim of the seminar is to study representation theory of associative algebras and quivers. Quivers are just directed graphs where the vertices are interpreted as vector spaces and the arrows as linear maps, but they are of great importance in the study of non commutative algebra and algebraic geometry. We analyze some problems of linear algebra with these tools. We will give a complete proof of
Gabriel's theorem that characterizes quivers of finite representation type.
Schließen
Literaturhinweise
Elements of the Representation Theory of Associative Algebras: Techniques of representation theory.(Ibrahim Assem, Daniel Simson and Andrzej Skowronski)
Cambridge University Press, 2006
Cambridge University Press, 2006
Representations of quivers. Lecture Notes, (M. Barot) http://www.matem.unam.mx/barot/articles/notes ictp. pdf, 2006
Coxeter functors and Gabriel's theorem. (IN Bernstein, Izrail Moiseevich Gel'fand, and VA Ponomarev)
Russian Mathematical Surveys, 28(2): 17-32, 1973
Introduction to representation theory
(Pavel I Etingof, Oleg Golberg, Sebastian Hensel, Tiankai Liu, Alex Schwendner, Dmitry Vaintrob and Elena Yudovina)
Vol. 59. American Mathematical Soc., 2011 Schließen
15 Termine
Regelmäßige Termine der Lehrveranstaltung
Mi, 22.10.2014 10:00 - 12:00
Mi, 29.10.2014 10:00 - 12:00
Mi, 05.11.2014 10:00 - 12:00
Mi, 12.11.2014 10:00 - 12:00
Mi, 19.11.2014 10:00 - 12:00
Mi, 26.11.2014 10:00 - 12:00
Mi, 03.12.2014 10:00 - 12:00
Mi, 10.12.2014 10:00 - 12:00
Mi, 17.12.2014 10:00 - 12:00
Mi, 07.01.2015 10:00 - 12:00
Mi, 14.01.2015 10:00 - 12:00
Mi, 21.01.2015 10:00 - 12:00
Mi, 28.01.2015 10:00 - 12:00
Mi, 04.02.2015 10:00 - 12:00
Mi, 11.02.2015 10:00 - 12:00