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HU Credits:
3
Degree/Cycle:
1st degree (Bachelor)
Responsible Department:
mathematics
Semester:
1st Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Dr. Ori Parzanchevski
Coordinator Office Hours:
Teaching Staff:
Dr. Ori Parzan
Course/Module description:
Introduction to the theory of complex representations of finite groups, with emphasis on examples and applications.
Course/Module aims:
Learning outcomes - On successful completion of this module, students should be able to:
Know the basic theorems in representation theory
Understand the computation of the irreducible representations of some finite groups
Learn more advanced topics in representation theory
Be familiar with applications of representation theory
Be aware of more advanced applications
Attendance requirements(%):
Teaching arrangement and method of instruction:
Course/Module Content:
Representations of groups
Subrepresentations and irreducibility
Charaters and orthogonality relations
Introduction to discrete harmonic analysis
Examples for concrete groups: Cyclic, Dihedral, Symmetric, GL2
Examples of applications in group theory, number theory, geometry, physics
Required Reading:
None
Additional Reading Material:
Steinberg - Representation Theory of Finite Groups: An Introductory Approach
James & Liebeck - Representations and Characters of Groups
Serre - Representations of finite groups
Course/Module evaluation:
End of year written/oral examination 0 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 60 %
Assignments 40 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
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