- Docente: Alessandro D'Andrea
- Credits: 6
- SSD: MAT/02
- Language: English
- Teaching Mode: Traditional lectures
- Campus: Bologna
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Corso:
Second cycle degree programme (LM) in
Mathematics (cod. 6730)
Also valid for Second cycle degree programme (LM) in Mathematics (cod. 5827)
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from Sep 16, 2025 to Dec 18, 2025
Learning outcomes
At the end of the course, the student knows the fundamental notions of finite-dimensional Lie algebras and their representation theory. The student is able to handle the main tools of this theory that can be used to construct mathematical models.
Course contents
All the standard topics in every introductory course to Lie algebras: classification of complex semisimple finite-dimensional Lie algebras over an algebraically closed field of characteristic 0; description of finite-dimensional irreducible representations in the same setting.
Readings/Bibliography
Humphreys "Introduction to Lie Algebras and Representation Theory", Springer
Kac's MIT notes on Lie algebras
McGerty's online notes on Lie algebras
Teaching methods
Chalk and blackboard.
Problem sets will be (irregularly) circulated.
Assessment methods
Oral exams. Students may be requested to hand in some of the solutions of exercise sheets.
Teaching tools
All course material will be uploaded on Virtuale.
Office hours
See the website of Alessandro D'Andrea