Classic and mirabolic Robinson-Schensted-Knuth correspondence for partial flags

Details Classic and mirabolic Robinson-Schensted-Knuth correspondence for partial flags Classic and mirabolic Robinson-Schensted-Knuth correspondence for partial flags

2010-05-24

arxiv.org/abs/1005.4434v2

Canadian Journal of Mathematics. Published electronically on December 31, 2011

Mathematics

Algebraic Geometry

27 pages, slightly rewritten to combine two papers into one and clarify some sections

Scientific paper

10.4153/CJM-2011-071-7

In this paper we first 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. Then we use this result to generalize the mirabolic Robinson-Schensted-Knuth correspondence defined by Travkin, to the case of two partial flags and a line.

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