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| MATH0469-1 | Differential geometry III
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| Duration : | 30h Th, 10h Pr, 20h Mon. WS |
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| Number of credits : |
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| Lecturer : | Pierre Mathonet |
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Language(s) of instruction :
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| French language |
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Course contents :
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| In this course, we will essentially study the theory of finite dimensional Lie algebras.
We will focus on classical concepts such as solvable, nilpotent, or semi-simple Lie algebras.
We will also study the representation theory of (semi-simple) Lie algebras and expose the classification of finite dimensional complex simple Lie algebras.
Finally, we will expose a few generalizations of Lie algebras (Lie superalgebras for instance). |
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Prerequisites and co-requisites/ Recommended optional programme components :
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| A good knowledge of linear algebra and basic knowledge of differential geometry are necessary. |
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Mode of delivery (face-to-face ; distance-learning) :
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| Face-to-face |
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Assessment methods and criteria :
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| The students should give an oral presentation of some themes studied during the lectures (exam).
They can also be asked to give a presentation on a topic involving the theory developed in the lectures. This topic is determined by the teacher. |
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Contacts :
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| Pierre Mathonet,
Département de Mathématique
Grande Traverse, 12, B37
B-4000 Liège Belgium
Tel: +32 4 366 94 80
P.Mathonet@ulg.ac.be |
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