Robinson-Schensted-Knuth correspondence in the geometry of partial flag varieties

Mathematics – Algebraic Geometry

Scientific paper

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10 pages, replaced to include an extra reference that also proves lemma 2.6

Scientific paper

In this paper we generalize to the case of partial flags a result proved both
by Spaltenstein and by Steinberg that relates the relative position of two
complete flags and the irreducible components of the flag variety in which they
lie, using the Robinson-Schensted-Knuth correspondence.

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