Erlangen programme at large: SL(2,R) case study - Lecture 2 (2018)
Channel: Vladimir V. Kisil
Date: 2018-10-19

1. A group action and its orbits, homogeneous spaces.
2. A homogeneous space and isotropy subgroups.
3. A subgroup H and transitive action on cosets G/H.
4. All two- and one-dimensional continuous subgroups of SL(2,R).
5. Significance of one-dimensional subgroups A, N, K.
6. All homogeneous spaces from continuous subgroups and SL(2,R) action on them.
7 Moebius (fraction linear) transformation.