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HU Credits:
2
Degree/Cycle:
1st degree (Bachelor)
Responsible Department:
Mathematics
Semester:
1st Semester
Teaching Languages:
English and Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Evgeny Strahov
Coordinator Office Hours:
Teaching Staff:
Prof Evgeny Strahov
Course/Module description:
The course will include the following principal topics:
1. General properties of representations of finite groups.
2. General properties of characters of finite groups.
3.Conjugacy classes in the symmetric group and combinatorics of Young diagrams.
4. Irreducible representations of the symmetric group over the complex field.
5. Characters of
irreducible representations of the symmetric group over the complex field
6. Further topics might be included
Course/Module aims:
1. To learn general properties of representations and characters of finite groups.
2. To learn classical combinatorics related to the symmetric group.
3. To learn explicit construction of irreducible representations of the symmetric group.
4. To learn derivation of formulas for the characters of irreducible representations of the symmetric group
Learning outcomes - On successful completion of this module, students should be able to:
At the end of the course students should know:
Representation of a finite group by linear transformations of a vector space.
Characters of representations of finite groups over the complex field.
Irreducible representations of the symmetric group over the complex field.
Formulas for the characters of irreducible representations of the symmetric group
Attendance requirements(%):
Teaching arrangement and method of instruction:
Lectures
Course/Module Content:
The course will include the following principal topics:
1. General properties of representations of finite groups.
2. General properties of characters of finite groups.
3.Conjugacy classes in the symmetric group and combinatorics of Young diagrams.
4. Irreducible representations of the symmetric group over the complex field.
5. Characters of
irreducible representations of the symmetric group over the complex field
Required Reading:
B. Sagan The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions.
Additional Reading Material:
Grading Scheme :
Written / Oral / Practical Exam 100 %
Additional information:
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