250071 VO Lie groups (2022W)

Lecture course on the fundamentals of the theory of Lie groups and their Lie algebras. The main prerequisites is analysis on manifolds. Contents: Lie groups and their Lie algebras; Lie subgroups and homogeneous spaces; Frobenius' theorem and existence results; compact Lie groups and their representations, maximal tori, the Peter-Weyl theorem. For further information, please refer to the preface of the lecture notes, which are available via http://www.mat.univie.ac.at/~cap/lectnotes.html .
According to the current planning, the course should be taught in presence Of course, if additional corona restrictions are imposed, it will be necessary to include self-learning and online elements during the semester. There is a moodle page set up for the course to which you can self-inscribe. This will be used for communication about the course, in particular in case online teaching becomes necessary.