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单词 Flag Manifold
释义

Flag Manifold

For any Sequence of Integers , there is a flag manifold of type (,..., ) which is the collection of ordered pairs 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 thestructure of Manifolds in a natural way and are used in the theory of Lie Groups.

See also Grassmann Manifold


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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