Flag Manifold
المؤلف:
Lu, J.-H. and Weinstein, A.
المصدر:
"Poisson Lie Groups, Dressing Transformations, and the Bruhat Decomposition." J. Diff. Geom. 31
الجزء والصفحة:
501-526
6-7-2021
2032
Flag Manifold
For any sequence of integers 
, there is a flag manifold of type (
, ..., 
) which is the collection of ordered sets of vector subspaces of 
(
, ..., 
) with 
and 
a subspace of 
. There are also complex flag manifolds with complex subspaces of 
instead of real subspaces of a real 
-space.
These flag manifolds admit the structure of manifolds in a natural way and are used in the theory of Lie groups.
REFERENCES:
Lu, J.-H. and Weinstein, A. "Poisson Lie Groups, Dressing Transformations, and the Bruhat Decomposition." J. Diff. Geom. 31, 501-526, 1990.
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