engleski

Nilpotent orbital integrals for semisimple groups with one conjugacy class of Cartan subgroups

Let G_R be a semisimple Lie group with one conjugacy class of Cartan subgroups. We derive a limit formula, relating the Liouville measure on a nilpotent G_R-orbit and the Liouville measures on regular semisimple orbits. For the complex semisimple groups limit formulas were studied by Barbasch and Vogan, Hotta and Kashiwara, and Rossmann.

Semimsimple Lie group; nilpotent orbit; Liouville measure; limit formula

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