To provide students with the fundamental tools of representation theory, with particular emphasis on the representation theory of groups and characters.
Curriculum
teacher profile teaching materials
Basic results in representation theory: the Jordan–Hölder and Krull–Schmidt theorems.
Representations of finite groups and character theory.
Mutuazione: 20411075 AL450 - TEORIA DELLE RAPPRESENTAZIONI in Matematica LM-40 R TURCHET AMOS
Programme
Review of algebra, multilinear algebra, and Lie algebras.Basic results in representation theory: the Jordan–Hölder and Krull–Schmidt theorems.
Representations of finite groups and character theory.
Core Documentation
J.-P. Serre, Linear Representations of Finite Groups, Springer-Verlag, 1997.Reference Bibliography
C. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Amer. Math. Soc., 2006. W. Fulton and J. Harris, Representation Theory, A First Course, Springer, 1991. C. Procesi, Lie Groups: An Approach through Invariants and Representations, Springer 2007.Type of evaluation
oral exam divided in two parts: seminar on a topic discussed with the teach and questions on a list of theorems/definitions defined in advance teacher profile teaching materials
Basic results in representation theory: the Jordan–Hölder and Krull–Schmidt theorems.
Representations of finite groups and character theory.
Mutuazione: 20411075 AL450 - TEORIA DELLE RAPPRESENTAZIONI in Matematica LM-40 R TURCHET AMOS
Programme
Review of algebra, multilinear algebra, and Lie algebras.Basic results in representation theory: the Jordan–Hölder and Krull–Schmidt theorems.
Representations of finite groups and character theory.
Core Documentation
J.-P. Serre, Linear Representations of Finite Groups, Springer-Verlag, 1997.Reference Bibliography
C. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Amer. Math. Soc., 2006. W. Fulton and J. Harris, Representation Theory, A First Course, Springer, 1991. C. Procesi, Lie Groups: An Approach through Invariants and Representations, Springer 2007.Type of evaluation
oral exam divided in two parts: seminar on a topic discussed with the teach and questions on a list of theorems/definitions defined in advance