**Credits** |
8 credit points |

**Instructors** |
Opdam, E.M. (Universiteit van Amsterdam), Stokman, J.V. (Universiteit van Amsterdam) |

**E-mail** |
e.m.opdam@uva.nl, j.v.stokman@uva.nl |

**Aim** |
Acquaintance with semisimple Lie algebras and their representation theory. |

**Description** |
The course provides a basic introduction to the theory of semisimple Lie algebras. Lie algebras are linear approximations of infinite smooth groups. Semisimple Lie algebras form an important subclass which play a profound role in problems of mathematics and physics in the presence of symmetries. Topics covered in the course are: nilpotent and solvable Lie algebras, structure theory and classification of semisimple Lie algebras, universal enveloping algebras and representation theory of semisimple Lie algebras. |

**Organization** |
Lectures and exercise classes. |

**Examination** |
Homework exercises and take-home exam. |

**Literature** |
J.E. Humphreys, " Introduction to Lie algebras and representation theory", Graduate Texts in Mathematics, 9. Springer-Verlag, New York-Berlin, 1978. xii+171 pp. |

**Prerequisites** |
Bachelor mathematics or physics. |

**Remarks** |
More information. |