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A Generalization of Steinberg Theory and an Exotic Moment Map

A Generalization of Steinberg Theory and an Exotic Moment Map

Abstract For a reductive group $G$, Steinberg established a map from the Weyl group to the set of nilpotent $G$-orbits by using moment maps on double flag varieties. In particular, in the case of the general linear group, it provides a geometric interpretation of the Robinson–Schensted correspondence between permutations and …