Abstract. Let GR be a real form of a complex, semisimple Lie group G. We compute the characteristic cycle of a standard sheaf associated with an open GR-orbit on the partial flag variety of G. We apply the result to obtain a Rossmann-type integral formula for elliptic coadjoint orbits. These results were previously obtained by the author under the assumption that the rank of GR is equal to the rank of a maximal compact subgroup. Let GR be a linear, semisimple Lie group. The present paper is a complement to , where we obtained a limit formula for elliptic orbital integrals. The proof of the formula was based on the powerful theory of characteristic cycles of equivariant sheaves developed by Schmid and Vilonen in ,  and . An important ingredient in the argument was the formula for the characteristic cycle of a standard sheaf on a generalized flag variety associated to an open GR-orbit, which was proved under the assumption that the rank of GR is equal to the rank of a maximal compact subgroup. The goal of this paper is to extend the formula for the characteristic cycle to the case of nonequal ranks. Compared to the proof of the correspondin
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