▶Japanese
Post to SNS
- Home
- > School of Science
- > Graduate major in Mathematics
- > Advanced topics in Geometry H
- School of Science
-
School of Engineering
- Undergraduate major in Mechanical Engineering
- Undergraduate major in Systems and Control Engineering
- Undergraduate major in Electrical and Electronic Engineering
- Undergraduate major in Information and Communications Engineering
- Undergraduate major in Industrial Engineering and Economics
- Common courses
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
- School of Environment and Society
- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
- First-Year Courses
- School of Science
- School of Engineering
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
-
School of Environment and Society
- Department of Architecture and Building Engineering
- Department of Civil and Environmental Engineering
- Department of Transdisciplinary Science and Engineering
- Department of Social and Human Sciences
- Department of Innovation Science
- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Graduate major in Mathematics
- Instructor(s)
- Honda Nobuhiro
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Fri5-6(H103)
- Group
- -
- Course number
- MTH.B504
- Credits
- 1
- Academic year
- 2018
- Offered quarter
- 4Q
- Syllabus updated
- 2018/3/20
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
We explain basic materials in representation theory on compact Lie groups. This course is a continuation of MTH.B503.
Student learning outcomes
Understand basics on Lie groups and Lie algebras with various examples
Keywords
adjoint representation, invariant measure, Schur's lemma, characters, Schur orthogonality relations
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
standard lecture course
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | adjoint representation, invariant measure | Details will be provided during each class session |
| Class 2 | Schur's lemma | |
| Class 3 | representation theory of SU(2) | |
| Class 4 | characters, Schur's orthogonality relation | |
| Class 5 | fundamental properties of characters | |
| Class 6 | representation theory of SU(2) and su(2) | |
| Class 7 | representation theory of SU(2) and su(2) (continued) | |
| Class 8 | product representation, representation of SO(4) |
Textbook(s)
none
Reference books, course materials, etc.
Warner, "Foundation of differential manifolds and Lie groups" GTM 94, Chapter 3
Assessment criteria and methods
homework
Related courses
- MTH.B503 ： Advanced topics in Geometry G
Prerequisites (i.e., required knowledge, skills, courses, etc.)
none
