MAT6006 Lie Groups and Lie AlgebrasBahçeşehir UniversityDegree Programs MATHEMATICS (TURKISH, PHD)General Information For StudentsDiploma SupplementErasmus Policy StatementNational Qualifications
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 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


Course Notes / Textbooks: Humphyres, J. E., “ Introduction to Lie Algebras and Representation Theory”, Springer-Verlag, Third Printing, Revised, (1980)

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Quizzes 3 % 10
Midterms 2 % 40
Final 1 % 50
Total % 100
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