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
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.
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
@article{10_4153_CJM_2011_071_7,
author = {Rosso, Daniele},
title = {Classic and {Mirabolic} {Robinson{\textendash}Schensted{\textendash}Knuth} {Correspondence} for {Partial} {Flags}},
journal = {Canadian journal of mathematics},
pages = {1090--1121},
year = {2012},
volume = {64},
number = {5},
doi = {10.4153/CJM-2011-071-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-071-7/}
}
TY - JOUR AU - Rosso, Daniele TI - Classic and Mirabolic Robinson–Schensted–Knuth Correspondence for Partial Flags JO - Canadian journal of mathematics PY - 2012 SP - 1090 EP - 1121 VL - 64 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-071-7/ DO - 10.4153/CJM-2011-071-7 ID - 10_4153_CJM_2011_071_7 ER -
%0 Journal Article %A Rosso, Daniele %T Classic and Mirabolic Robinson–Schensted–Knuth Correspondence for Partial Flags %J Canadian journal of mathematics %D 2012 %P 1090-1121 %V 64 %N 5 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-071-7/ %R 10.4153/CJM-2011-071-7 %F 10_4153_CJM_2011_071_7
Cité par Sources :