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- W2950605623 abstract "The set of orbits of $GL(V)$ in $Fl(V)times Fl(V)times V$ is finite, and is parametrized by the set of certain decorated permutations in a work of Solomon. We describe a Mirabolic RSK correspondence (bijective) between this set of decorated permutations and the set of triples: a pair of standard Young tableaux, and an extra partition. It gives rise to a partition of the set of orbits into combinatorial cells. We prove that the same partition is given by the type of a general conormal vector to an orbit. We conjecture that the same partition is given by the bimodule Kazhdan-Lusztig cells in the bimodule over the Iwahori-Hecke algebra of $GL(V)$ arising from $Fl(V)times Fl(V)times V$. We also give conjectural applications to the classification of unipotent mirabolic character sheaves on $GL(V)times V$." @default.
- W2950605623 created "2019-06-27" @default.
- W2950605623 creator A5046893935 @default.
- W2950605623 date "2008-02-12" @default.
- W2950605623 modified "2023-09-27" @default.
- W2950605623 title "Mirabolic Robinson-Shensted-Knuth correspondence" @default.
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