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About: Generalized flag variety     Goto   Sponge   NotDistinct   Permalink

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Type: Thingyago:Abstraction100002137yago:Attribute100024264yago:Space100028651yago:WikicatAlgebraicHomogeneousSpaces New Facet based on Instances of this Class

In mathematics, a generalized flag variety (or simply flag variety) is a homogeneous space whose points are flags in a finite-dimensional vector space V over a field F. When F is the real or complex numbers, a generalized flag variety is a smooth or complex manifold, called a real or complex flag manifold. Flag varieties are naturally projective varieties.