Sumários
Lie groups and Lie algebras / Homogeneous spaces
30 Maio 2017, 18:30 • Susana Duarte Santos
Resolution of exercises of the second chapter: 27, 28, 29, 32, 33b), 34 and 35.
Resolution of exercises of the third chapter: 2, 6 and 7.
Lie groups and Lie algebras / Homogeneous spaces
30 Maio 2017, 17:00 • Susana Duarte Santos
Final remarks: connection between SO(3) and SU(2); not every Lie group is a matrix Lie group.
Some extra exercises.
Homogeneous spaces
24 Maio 2017, 14:00 • Susana Duarte Santos
Smooth manifold structures on sets that admit transitive Lie group actions such that for some point, its stabilizer is closed in the Lie group. Examples: Grassmannians, Stiefel manifolds and Flag manifolds.
Applications of homogeneous space theory to the Lie theory.
Homogeneous spaces
23 Maio 2017, 18:30 • Susana Duarte Santos
Examples related to the theory already developed.
Homogeneous spaces
23 Maio 2017, 17:00 • Susana Duarte Santos
Homogeneous spaces: definition, examples and results. Applications.