| Literatur |
- Bourbaki, Nicolas. Groupes et algebres de Lie 4,5,6, Hermann 1954.
- Humphreys, James E. Introduction to Lie algebras and representation theory. Second printing, revised. Graduate Texts in Mathematics, 9. Springer-Verlag, New York-Berlin, 1978.
- Kac, Victor G. Infinite-dimensional Lie algebras. Third edition. Cambridge University Press, Cambridge, 1990.
- Wan, Zhe Xian. Introduction to Kac--Moody algebra. World Scientific Publishing Co., Inc., Teaneck, NJ, 1991.
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| Lerninhalte |
Kac--Moody Lie algebras where simultaneously introduced by Kac and Moody in the 1960’s. They naturally generalise finite-dimensional semisimple Lie algebras. This generalisation, appart from its own interest, has shown many applications in the finite-dimensional setting. We will deal with the following material during the lectures.
- Quick review on the classification of semisimple Lie algebras and Serre’s presentation theorem.
- Construction of Kac-Moody Lie algebras and thier classification.
- Affine Lie algebras.
- Affine reflection groups.
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