科学技術英語B/ENGL.FOR SCI
博士前期課程理工学研究科 - 理工学専攻
MSCT7045
コース情報
担当教員: TRIHAN Fabien
単位数: 2
年度: 2024
学期: 秋学期
曜限: 金1
形式: 対面授業
レベル: 500
アクティブラーニング: なし
他学部履修: 可
評価方法
リアクションペーパー
詳細情報
概要
This course is following the Policy 2 of Sophia University. Representation theory is a technique for analyzing abstract groups in terms of groups of linear transformations.
目標
We will give an introduction to representation of finite groups with the aim of computing table of characters.
授業外の学習
-we will do a little quiz at the beginning of each class -read your notes every week and make your own summary (60 minutes) -check the solution of the quiz and prepare for the quiz of the next week (60 minutes) -check if you can do the exercises that have been done in the previous class (70 min)
所要時間: 190 min
スケジュール
- Linear representations
- G-homomorphisms and irreducible representations
- New representations from old
- Permutation representations
- Properties of permutation representations
- Calculating in permutation representations
- Generalized permutation representations
- Characters and class functions on a finite group
- Properties of characters
- Inner products of characters
- Character tables
- Examples of character tables
- Reciprocity formulæ
- Representations of semi-direct products
- Real representations
教科書
Representations of Finite Groups by Andrew Baker
参考書
書籍情報はありません。