HU Credits: 6

Degree/Cycle: 2nd degree (Master)

Responsible Department: Mathematics

Semester: 2nd Semester

Teaching Languages: English and Hebrew

Campus: E. Safra

Course/Module Coordinator: Prof. Yakov Varshavsky

Coordinator Email: yakov.varshavsky@mail.huji.ac.il

Coordinator Office Hours: By appointment.

Teaching Staff:
Prof Yakov Varshavsky,
Ms. Noam Zimhoni

Course/Module description:
Introduction to the representation theory of finite groups and, if time allows, of compact, and locally-compact groups.

Notice! Additional, or other, topics might be taught.

Course/Module aims:

Learning outcomes - On successful completion of this module, students should be able to:
Familiarity with the fundamental notions of algebra. Familiarity with modules, and semisimple rings. Familiarity with the basics of the theory of group representations.

Attendance requirements(%):
none

Teaching arrangement and method of instruction: Lecture + exercise

Course/Module Content:
* Basics of representation theory of finite groups

* Modules over noncommutative rings

* Semisimple rings and modules

* Artin-Wedderburn theory

* Characters

* Induction, Frobenius reciprocity and Mackey theory

If time allows:

* Basics of representation theory of compact groups

Other or additional topics may be studied

Required Reading:
none

Additional Reading Material:
Fulton, Harris, Representation Theory
Folland, A Course in Abstract Harmonic Analysis
Serre, Linear Representations of Finite Groups
Kowalski's lecture notes:
https://people.math.ethz.ch/~kowalski/representation-theory.pdf

Grading Scheme :
Written / Oral / Practical Exam 70 %
Submission assignments during the semester: Exercises / Essays / Audits / Reports / Forum / Simulation / others 30 %

Additional information:
none