BAHÇEŞEHİR UNIVERSITY BİLGİ PAKETİ / DERS KATALOĞU
| MATHEMATICS (TURKISH, PHD) | |||||
| PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 | ||
Course Introduction and Application Information
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| MAT6006 | Lie Groups and Lie Algebras | Fall Spring |
3 | 0 | 3 | 8 |
| This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester. |
Basic information
| Language of instruction: | Turkish |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Assoc. Prof. ATABEY KAYGUN |
| Recommended Optional Program Components: | None |
| Course Objectives: | The aim of the course is to give the improvements in Lie Algebras to the students. |
Learning Outcomes
|
The students who have succeeded in this course; Ability to define of Semisimple Lie Algebras Ability to create of Root Systems Ability to use of Isomorphism and Conjugacy Theorems Ability to use of Existence Theorem and Representation Theory Ability to define of Chevalley Algebras and Groups |
Course Content
| • Basic Concepts • Semisimple Lie Algebras • Root Systems • Isomorphism and Conjugacy Theorems • Existence Theorem • Representation Theory • Chevalley Algebras and Groups |
Weekly Detailed Course Contents
| Week | Subject | Related Preparation |
| 1) | Basic Concepts | |
| 2) | Semisimple Lie Algebras | |
| 3) | Semisimple Lie Algebras | |
| 4) | Root Systems | |
| 5) | Root Systems | |
| 6) | Isomorphism and Conjugacy Theorems | |
| 7) | Isomorphism and Conjugacy Theorems | |
| 8) | Existence Theorem | |
| 9) | Existence Theorem | |
| 10) | Existence Theorem | |
| 11) | Representation Theory | |
| 12) | Representation Theory | |
| 13) | Chevalley Algebras and Groups | |
| 14) | Chevalley Algebras and Groups |
Sources
| Course Notes / Textbooks: | Humphyres, J. E., “ Introduction to Lie Algebras and Representation Theory”, Springer-Verlag, Third Printing, Revised, (1980) |
| References: |
Evaluation System
| Semester Requirements | Number of Activities | Level of Contribution |
| Quizzes | 3 | % 10 |
| Midterms | 2 | % 40 |
| Final | 1 | % 50 |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 50 | |
| PERCENTAGE OF FINAL WORK | % 50 | |
| Total | % 100 | |
ECTS / Workload Table
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Study Hours Out of Class | 14 | 5 | 70 |
| Quizzes | 3 | 2 | 6 |
| Midterms | 2 | 20 | 40 |
| Final | 1 | 42 | 42 |
| Total Workload | 200 | ||
Contribution of Learning Outcomes to Programme Outcomes
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |