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The Springer theory of symmetric spaces associated to orthogonal groups
ÕªÒª£º For an algebraic group $G$, Lusztig generalized the classical Springer correspondence to give a bijection between the set of $G$-equivariant perverse sheaves on the unipotent variety, and a union of irreducible representations of some Coxeter groups, including the Weyl group of $G$. The Springer map is a key ingredient of the Springer correspondence. The fibers of this map are called Springer fibers, which are a special kind of Spaltenstein varieties. Many structural properties of Spaltenstein varieties are revealed by Borho-MacPherson.