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Syllabus FUNDAMENTAL CONCEPTS IN REPRESENTATION THEORY - 80598
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Last update 17-08-2016
HU Credits: 6

Degree/Cycle: 2nd degree (Master)

Responsible Department: mathematics

Semester: 2nd Semester

Teaching Languages: Hebrew

Campus: E. Safra

Course/Module Coordinator: Dr. Ori Parzanchevski

Coordinator Email: parzan@math.huji.ac.il

Coordinator Office Hours: By appointment.

Teaching Staff:
Dr. Ori Parzan
Mr. Oren Becker

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

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:
Representations of finite groups - examples
Modules over non-commutative rings
Categories and functors
Semisimple rings and modules
Schur, Maschke and Artin-Wedderburn theory
Characters
Induction, Frobenius reciprocity and Mackey theory
Representations of compact groups - Haar, Peter-Weyl
Introduction to representations of locally compact groups

Required Reading:
none

Additional Reading Material:
Non-commutative Algebra - Farb & Dennis
Groups and Representations - Alperin & Bell
Representation Theory - Fulton & Harris

Course/Module evaluation:
End of year written/oral examination 80 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 20 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %

Additional information:
none
 
Students needing academic accommodations based on a disability should contact the Center for Diagnosis and Support of Students with Learning Disabilities, or the Office for Students with Disabilities, as early as possible, to discuss and coordinate accommodations, based on relevant documentation.
For further information, please visit the site of the Dean of Students Office.
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