Hiroshima University Syllabus |

Japanese

Academic Year 2023Year School/Graduate School School of Science Lecture Code HB250000 Subject Classification Specialized Education Subject Name 代数学Ｄ Subject Name

（Katakana）ダイスウガクD Subject Name in

EnglishAlgebra D Instructor SHIMADA ICHIROU Instructor

(Katakana)シマダ イチロウ Campus Higashi-Hiroshima Semester/Term 4th-Year, Second Semester, 3Term Days, Periods, and Classrooms (3T) Mon3-4,Thur3-4：SCI E211 Lesson Style Lecture Lesson Style

(More Details)Blackboard Credits 2.0 Class Hours/Week Language of Instruction B : Japanese／English Course Level 4 : Undergraduate Advanced Course Area（Area） 25 : Science and Technology Course Area（Discipline） 01 : Mathematics/Statistics Eligible Students Keywords Advanced Group Theory Special Subject for Teacher Education Special Subject Class Status

within Educational

Program

(Applicable only to targeted subjects for undergraduate students)Criterion referenced

Evaluation

(Applicable only to targeted subjects for undergraduate students)Mathematics

（Knowledge and Understanding）

・Acquiring knowledge and vision on advanced theories as an extension of core theory of modern mathematics.Class Objectives

/Class OutlineWe learn an advanced topics of the group theory with many examples. Class Schedule Review of the group theory 1

Review of the group theory 2

Lie groups and their Lie algebras 1

Lie groups and their Lie algebras 2

Linear representations of Lie groups and Lie algebras 1

Linear representations of Lie groups and Lie algebras 2

Representations of the special orthogonal group 1

Representations of the special orthogonal group 2

Theory of angular momentum 1

Theory of angular momentum 2

Theory of angular momentum 3

Theory of angular momentum 4

Representations of the Lorentz group 1

Representations of the Lorentz group 2

Representations of the Lorentz group 3

The schedule may change.Text/Reference

Books,etc.References will be given during the courses.

PC or AV used in

Class,etc.(More Details) blackboard and handouts Learning techniques to be incorporated Suggestions on

Preparation and

ReviewExamine the examples given in the lecture.

Examine the examples given in the lecture.

Examine the examples given in the lecture.

Examine the examples given in the lecture.

Examine the examples given in the lecture.

Examine the examples given in the lecture.

Examine the examples given in the lecture.

Examine the examples given in the lecture.

Examine the examples given in the lecture.

Examine the examples given in the lecture.

Examine the examples given in the lecture.

Examine the examples given in the lecture.

Examine the examples given in the lecture.

Examine the examples given in the lecture.

Examine the examples given in the lecture.Requirements Grading Method By reports Practical Experience Summary of Practical Experience and Class Contents based on it Message Other Please fill in the class improvement questionnaire which is carried out on all classes.

Instructors will reflect on your feedback and utilize the information for improving their teaching.