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Results tagged with lie-groups
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user 12170
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
18
votes
Is there a Morse theory proof of the Bruhat decomposition?
Yes, there is!
The best place I know where this is done are the initial sections of
J. J. Duistermaat, J. A. C. Kolk, and V. S. Varadarajan. Functions, flows and oscillatory
integrals on flag manifol …
- 1,123
8
votes
Origin of terms "flag", "flag manifold", "flag variety"?
@Jim, I always asked myself the same question. You say that the "notion of flag variety or flag manifold evolved from the older and still somewhat mysterious use of the term flag in projective geomet …
- 1,123
5
votes
0
answers
269
views
Fundamental group of compact globally symmetric spaces
The fundamental group of a globally symmetric space $M$ of compact type is known (see Loos [1], Borel [2]). The result can be formulated as follows: it is isomorphic to the quotient
$$(*) \quad \pi_1( …
- 1,123