engleski

Characteristic cycles of standard sheaves associated with open orbits

Let G_R be a real form of a complex, semisimple Lie group. We compute the characteristic cycle of a standard sheaf associated with an open G_R orbit on the partial flag vatiety of G. We apply the result to obtain a Rossman type integral formula for elliptic coadjoint orbit. These results were previously obtained by the author under the assumption that the rank of G_R is equal to the rank of a maximal compact subgroup.

Semisimple Lie group; partial flag variety; standard sheaf; characteristic cycle

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