A flag variety is a type of geometric object that represents certain structured collections of subspaces of a vector space, often associated with the study of representations of Lie groups and algebras. It can be understood as a way to visualize and categorize these subspaces through a hierarchical arrangement, which plays a crucial role in various areas such as the Borel-Weil theorem and the Weyl character formula, linking algebraic structures to geometric representations.
congrats on reading the definition of Flag Variety. now let's actually learn it.