The Exotic Robinson–schensted Correspondence
نویسنده
چکیده
We study the action of the symplectic group on pairs of a vector and a flag. Considering the irreducible components of the conormal variety, we obtain an exotic analogue of the Robinson–Schensted correspondence. Conjecturally, the resulting cells are related to exotic character sheaves.
منابع مشابه
Orbits of a Fixed-point Subgroup of the Symplectic Group on Partial Flag Varieties of Type A
In this paper we compute the orbits of the symplectic group Sp2n on partial flag varieties GL2n/P and on partial flag varieties enhanced by a vector space, C ×GL2n/P . This extends analogous results proved by Matsuki on full flags. The general technique used in this paper is to take the orbits in the full flag case and determine which orbits remain distinct when the full flag variety GL2n/B is ...
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تاریخ انتشار 2011