A Giambelli Formula for Classical G/p Spaces
نویسنده
چکیده
Let G be a classical complex Lie group, P any parabolic subgroup of G, and G/P the corresponding partial flag variety. We prove an explicit combinatorial Giambelli formula which expresses an arbitrary Schubert class in H(G/P ) as a polynomial in certain special Schubert class generators. Our formula extends to one that applies to the torus-equivariant cohomology ring of G/P and to the setting of symplectic and orthogonal degeneracy loci.
منابع مشابه
A Giambelli Formula for Isotropic Partial Flag Varieties
Let G be a classical complex Lie group, P any parabolic subgroup of G, and G/P the corresponding partial flag variety. We prove an explicit nonrecursive Giambelli formula which expresses an arbitrary Schubert class in H(G/P ) as a polynomial in certain special Schubert class generators; in the even orthogonal case this depends on the main result of [BKT4]. Our formula extends to one that applie...
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