Geodesic
Classic and Mirabolic Robinson–Schensted–Knuth Correspondence for Partial Flags
Canadian journal of mathematics, Tome 64 (2012) no. 5, pp. 1090-1121

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-2011-071-7
Mots-clés : 14M15, 05A05, partial flag varieties, RSK correspondence 
Rosso, Daniele. Classic and Mirabolic Robinson–Schensted–Knuth Correspondence for Partial Flags. Canadian journal of mathematics, Tome 64 (2012) no. 5, pp. 1090-1121. doi: 10.4153/CJM-2011-071-7
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     title = {Classic and {Mirabolic} {Robinson{\textendash}Schensted{\textendash}Knuth} {Correspondence} for {Partial} {Flags}},
     journal = {Canadian journal of mathematics},
     pages = {1090--1121},
     year = {2012},
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     number = {5},
     doi = {10.4153/CJM-2011-071-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-071-7/}
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