Lie's therory elements and differential geometry

lmat2430  2022-2023  Louvain-la-Neuve

Lie's therory elements and differential geometry
5.00 credits
30.0 h + 15.0 h
Q2
Teacher(s)
Bieliavsky Pierre;
Language
French
Content
-Introduction to Lie groups and Lie algebras
-Homogeneous spaces
-Riemannian symmetric spaces
-Theory of representations of Lie groups. Kirilov's orbit method.
-Introduction to quantization and quantum geometry.
Teaching methods
Lectures and homeworks.
Evaluation methods
Homeworks and oral exam.
Bibliography
  • P. Malliavin, Géométrie différentielle intrinsèque.
  • J. Milnor, Topology from a differentiable viewpoint.
  • S. Kobayashi and K. Nomizu, Foundations of differential geometry.
  • S. Helgason, Differential geometry, Lie groups and symmetric spaces.
  • A. Kirillov, Lectures on the orbit method.
Teaching materials
  • syllabus, énoncés et corrigés des homeworks sur moodle.
Faculty or entity
MATH


Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Sigle
Credits
Prerequisites
Learning outcomes
Master [120] in Mathematics

Master [60] in Mathematics

Master [120] in Physics