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Results tagged with lie-groups
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user 47412
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
10
votes
Parallel forms and cohomology of symmetric spaces
As mentioned above, an invariant form on G/H is harmonic. The converse is proved in Helgason's book (1978), pages 227 and 564. The case of G itself is a theorem of Hodge.
- 191
9
votes
Are maximal connected semisimple subgroups automatically closed?
If G is a simply connected Lie group and H a connected semisimple Lie subgroup then H is closed. Mostow Ann.Math. 1950, p. 615.
- 191