NMAK13019U Representations and Characters of finite Groups (RepChGr)
Group representations, group algebras, FG-modules, Maschke's Theorem, Schur's Lemma, irreducible modules, conjugacy classes, characters, inner products of characters, the number of irreducible characters, character tables and orthogonality relations, normal subgroups and lifted characters, tensor products, restriction to a subgroup, induced modules and characters, explicit examples of character tables, permutations and characters, applications to group theory
Knowledge: Explain the definitions of concept in the course and operate safely with them. Explain the subject matter described in the table of contents in an insightful way.
Skills: Solve problems in the course subject matter, including the construction of simple character tables. Construct proofs of theorems within the contents of the course.
Competences: Present and apply abstract results within the content of the course,
- Category
- Hours
- Exam
- 18
- Guidance
- 20
- Lectures
- 28
- Preparation
- 80
- Theory exercises
- 60
- Total
- 206
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- Credit
- 7,5 ECTS
- Type of assessment
- Continuous assessmentTo pass the course you must have the following three activities approved: Two sets of written assignments and one seminar presentation. The seminar presentation will be based on a chapter in the book or a short research paper.
- Marking scale
- passed/not passed
- Censorship form
- No external censorship
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.
Course information
- Language
- English
- Course code
- NMAK13019U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 4
- Schedule
- B
- Course capacity
- No limit
- Continuing and further education
- Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Course responsibles
- Jørn Børling Olsson (6-726f76767271437064776b316e7831676e)